Daryl Mitchell fell just shy of a double hundred and Tom Blundell scored a century as New Zealand left England with an uphill battle in the second Test.
The tourists resumed day one on 318-4 with Mitchell closing in on a century, and he went well beyond that mark to post 190, the third-highest Test score by a New Zealand player in England.
He was joined on three figures by Blundell, who reached 106 before falling to Jack Leach as England toiled.
Matthew Potts finally brought an end to Mitchell's remarkable stay at the crease as New Zealand were bowled out for 553, their highest Test score in England. The hosts lost Zak Crawley (four) early in their reply before Alex Lees (34 not out) and Ollie Pope (51 no) guided them to stumps on 90-1, trailing by 463.
Mitchell treated the Trent Bridge crowd to one of the great New Zealand Test knocks, though the shot that brought his 184-ball hundred was not one to remember as he edged Potts for four.
Potts then dropped Mitchell on 104 at long-on, allowing a regulation catch to go to the boundary. Mitchell and Blundell continued to punish England following that missed opportunity, the latter reaching his century in 191 balls.
Their stand of 236 marked New Zealand's highest fifth-wicket partnership in Tests and was eventually ended when Leach removed Blundell, though the same bowler was on the receiving end of a barrage from Mitchell after lunch.
Michael Bracewell (49) took over the supporting role, but the wickets tumbled after he fell to James Anderson, with Mitchell receiving acclaim from England players and fans upon his exit.
Crawley went to a superb Trent Boult delivery in the second over of the reply, before Mitchell committed a pair of drops at first slip, the first a simple catch that would have dismissed Lees and the second handing a reprieve to Pope, who reached a fluid 66-ball half-century with a cut through backward point.
Mitchell masters with the bat... but fumbles in the field
Mitchell spent 477 minutes at the crease, hitting 23 fours and four sixes, but he may have been thinking more about his sub-par efforts in the slips as the teams left the field. New Zealand will hope his drops do not facilitate England denying them victory.
Crawley crumbles again
Crawley could not do much about a peach of a delivery from Boult. However, he continues to struggle opening the batting in 2022. It is now six single-figure scores in his past nine Test innings.
Ronaldo's commitment and experience crucial for Portugal's new cycle – Martinez
Roberto Martinez believes Cristiano Ronaldo's experience and commitment is crucial to Portugal's new cycle.
Ronaldo became the most-capped men's player of all time when he took to the field in Lisbon on Thursday for his 197th Portugal appearance.
The 38-year-old marked the occasion with two goals, scoring from the penalty spot before lashing in a free-kick to complete a 4-0 rout over Liechtenstein in Euro 2024 qualifying Group J.
Joao Cancelo put Portugal ahead early on and Bernardo Silva netted shortly after half-time, with Martinez's tenure getting off to the simplest of starts.
Ronaldo was dropped to the bench by previous coach Fernando Santos for Portugal's World Cup knock-out games, but Martinez wanted to get the five-time Ballon d'Or winner into his starting XI.
"It's a new cycle," Martinez told Portuguese media outlets.
"It's important for a player to show commitment and [to know] that we can use his experience, and Cristiano shows that."
Posting on social media, Ronaldo expressed his pride at sending yet another record tumbling.
"Such good feelings to play and score again for our national team, in a special stadium for me," Ronaldo wrote. "Proud to be the [most-capped] international player ever."
Reflecting on his team's dominant display, in which Portugal had 35 attempts and accumulated an expected goals (xG) of 3.9 to Liechtenstein's 0.03, Martinez said: "We have to enjoy situations like this.
"I realised that when you play for Portugal it's special. The players follow that line, it was a step forward to prepare for the next game.
"Of course it's an opportunity for me to get to know the players, the interaction, see how to take better advantage of the qualities. But I'm left with the attitude and willingness to work. I'm very proud of the result."
Portugal continue their qualification campaign against Luxembourg on Sunday.
Mancini hopeful Italy can tackle 'uphill climb' to Euro 2024 following England defeat
Roberto Mancini knows Italy face an "uphill climb" to qualify for Euro 2024 after they were beaten 2-1 by England but took heart from their second-half display.
Declan Rice opened the scoring and Harry Kane become England's outright record goalscorer with his 54th strike for his country from the penalty spot just before half-time in Thursday's Group C opener at Stadio Diego Armando Maradona.
Argentina-born Mateo Retegui marked his debut with a goal to get the European champions back in the game and there was further hope for Italy when Luke Shaw was sent off in the 80th minute.
England held on to gain a measure of revenge for a defeat in the Euro 2020 final, securing their first away win over Italy since May 1961.
Gareth Southgate's side ended Italy's run of 40 European Championship qualifying matches without defeat, leaving the holders with work to do in order to return to a major tournament in Germany next year after missing out on the 2022 World Cup in Qatar.
Azzurri head coach Mancini said: "We knew it was going to be a difficult game, then we conceded two goals from two set-pieces; we should have been more careful.
"We dominated in the second half and probably deserved a draw. We're disappointed with the result but we still have a long way to go."
He added: "In the second half we managed to press better, higher and I saw a great team again: this gives us hope. England are always dangerous from set-pieces, but we shouldn't have conceded those two goals.
"We still managed to roll up our sleeves and play better. The road is a bit of an uphill climb now, but maybe it will finish more smoothly."
Mancini was encouraged by the impact Retegui made in the second half in Naples after the striker became the first player to open his Italy account while playing for a club based outside of Europe.
"Retegui has yet to get to know his team-mates and our movements as a team," Mancini said of the Tigre forward.
"In the first half, he had difficulties against the English defenders who are very strong physically, but he did better in the second half. He's young and I think he just needs a little time."
Kane savours 'magical moment' of breaking England goalscoring record in win over Italy
Harry Kane savoured the "magical moment" of becoming England's outright record goalscorer in a 2-1 Euro 2024 qualifying victory over Italy.
Kane made history in the Three Lions' Group C opener at Stadio Diego Armando Maradona on Thursday, breaking a record he had shared with Wayne Rooney by converting a penalty just before half-time.
The captain's 54th goal for his country doubled England's lead after Declan Rice had opened the scoring in a repeat of a Euro 2020 final that Italy won at Wembley in July 2021.
Argentina-born Mateo Retegui pulled a goal back on his Azzurri debut, and although Luke Shaw was sent off in the 80th minute for a second bookable offence, Gareth Southgate's side held on for their first victory away to Italy since May 1961.
Kane told Channel 4: "It means everything. We're so excited to put the England shirt back on, get the campaign started for the Euros next year. It had to be a penalty, of course, but once it hit the back of the net there was so much emotion.
"It's a magical moment. Thanks to everyone who's helped me get to this stage. It's a great night. We haven't won in Italy for so long. To score, and win this game, is just special."
Kane added: "I was on the pitch when Wayne broke the record. I know what it meant to him and I was so proud of him. I remember when I presented him the boot for breaking the record, he said he would be giving it back to me one day. A special man."
Rooney wasted no time in congratulating his former team-mate.
He posted on social media: "Congratulations to @HKane on becoming @England’s all-time leading goalscorer. I knew it wouldn't take long but that was quick. Great man, unbelievable goalscorer and an England legend. Congrats Harry."
Tottenham's record goalscorer Kane suffered the agony of a missed penalty that saw England crash out of the World Cup with a defeat to France at the quarter-final stage in December.
The striker felt it was important to show a positive response to that heartbreak in Naples.
He said: "It was tough to finish in that way, but we spoke this week about getting back to it. We feel like we are one of the best teams in Europe.
"Coming here and putting in a performance like that today shows we are ready for the next challenge. We've got a difficult campaign ahead."
Italy's defeat was their first in 41 European Championship qualifying matches.
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