Chasing New Zealand’s 145/7, Brandon King and Shamarh Brooks shared a 102-run opening stand to steer West Indies to a eight-wicket win.
Needed 30 runs off the final over, West Indies' Akeal Hosein clobbered England's Saqib Mahmood for three sixes and two fours to take 28 runs.
Shadab Khan's career-best 86 off 78 balls revived Pakistan to 269/9, then he claimed 4/62 to help dismiss West Indies for 216.
West Indies have kept Odean Smith in the T20I side for a three-match series against India despite recent controversy. India will play all T20Is vs West Indies in Kolkata.