They won by seven wickets with an over to spare, Ross Taylor unbeaten on 21.
Ross Taylor's 40 was the top score as left-arm paceman Mitchell Johnson returned figures of 4-30.
But Ross Taylor's return to Brendon McCullum was too swift and England were 80-5.
Steyn (4-42) just missed a hat-trick after Andre Nel (2-42) had removed Ross Taylor and Brendon McCullum.
Ross Taylor hit two sixes, the second an enormous swipe into the corporate boxes off Stuart Broad.
Ross Taylor fell cheaply as he skied another Gayle delivery to Xavier Marshall, leaving the hosts on 128-3.
Kiwi import Ross Taylor's 24-ball smash-and-grab of 53 not out had given the home side a fine total of 180-4.
Stand-in skipper McCullum looped an easy catch to Shah at short midwicket before Sidebottom trapped Ross Taylor lbw for a duck.
Aussie Shaun Tait was named top emerging player ahead of England's Ravi Bopara, Kiwi Ross Taylor and Saqibul Hasan of Bangladesh.
Kallis made an unbeaten 73, while Ross Taylor hit three sixes in 32 not out from just 11 balls as RCB amassed 188-2.
Only Ross Taylor was able to combat the home side's attack and his 67 not out saw New Zealand to 143-6 at the close.
Ross Taylor (55) and Matthew Sinclair (39) shared 81 but Ryan Sidebottom (3-72) and Stuart Broad (2-38) raised the prospect of a quick England win.
Andrew Symonds pulled off a one-handed catch to spell the end of the Kiwi captain's stay after he had initially showed some fight with Ross Taylor.
Ross Taylor and Daniel Flynn fell in the same over to rock the tourists' hopes of levelling the series, before bad light ended play at Trent Bridge.
Half centuries by Jamie How and Jesse Ryder gave them hope but once Ryder and Ross Taylor's fourth-wicket stand of 74 was over, a draw was inevitable.
Shareholders now know about Feldman's deal only because Ross Taylor of 10% owner Caxton Associates pried it out of him during an investor conference call in May.
Resuming on 70, the 35-year-old reached his century before lunch and eventually fell for 160 after edging a superb Iain O'Brien ball to Ross Taylor at slip.
Bollinger followed up by having Ingram caught behind and Ross Taylor was next to go for 25 after being struck on the pads by a sharply turning off-break from Hauritz.
Having been put in, the home side stuttered to 55-3 before Ross Taylor, passed fit to play after a leg injury, led a revival with an aggressive innings of 62 off 66 balls.
Earlier, Pandey and Rahul Dravid (33) - dropped from India's one-day squad earlier in the day - starred for Bangalore before McDonald removed them both, as well as Virat Kohli and New Zealand's Ross Taylor.
Mathew Sinclair and Ross Taylor, who struck a sensational century in the first innings, steadied the innings, taking the total past 100 at tea as Ponting combined seam and spin on a wearing Seddon Park pitch.
All-rounder Styris was the only one to reach a half century and he formed vital partnerships of 53 and 68 with Ross Taylor (30) and Daniel Vettori (28), respectively to lift New Zealand from a perilous 32-3 to 155-6.
Shahid Afridi decided to bring back seamer Mohammad Sami and it paid off instantly when his second delivery resulted in Ross Taylor feathering catch to the keeper and at the half-way mark, New Zealand were precariously placed at 61-4.
Australia skipper Ricky Ponting won the toss and elected to bat first and was soon out in the middle when opener Phillip Hughes - a replacement for the injured Shane Watson - become Arnel's first Test wicket when he edged a catch to Ross Taylor at slip.
There was still time for Kevin Pietersen to drop a stinger from McCullum at gully off Anderson with the second new ball in the final over of the day but, in the end, the keeper and Ross Taylor (34no) survived to keep the hosts' slim hopes of survival alive.
Past acts have included Sting, James Taylor, Diana Ross, John Cougar Mellencamp, Sheryl Crow, Faith Hill, Lionel Richie, Paul Simon, Stevie Wonder and Elton John.
Glasgow backs Dan Parks and Andy Henderson and the forward trio of Ross Ford (Borders), Alastair Kellock (Glasgow) and Simon Taylor (Edinburgh) have been added to Scotland's squad.
Marc Ross, the Giants director of college scouting, felt New York found a hidden gem taking Taylor in the fifth round.
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