The bowling list is headed by two South Africans, Vernon Philander and Dale Steyn.
"It's early days, we have some guys who are hungry to perform on the world stage and match themselves up against the best players rather than just being the best in New Zealand," New Zealand captain Brendon McCullum said.
After Taylor, Kane Williamson is next best on the batting list at No21, followed by McCullum at No34.
Southee will skip the first two West Indies ODIs for treatment on a toe, but is expected to return for the third game in Queenstown on New Year's Day.
Cricket's finest
World test rankings
Batting: 1 AB de Villiers (South Africa) 906pts, 2 Hashim Amla (South Africa) 881, 3 Shiv Chanderpaul (West Indies) 876, 4 Ross Taylor (NZ) 871, 5 M Clarke (Australia) 868.
Bowlers: 1 Vernon Philander (South Africa) 912, 2 Dale Steyn (South Africa) 890, 3 Rangana Herath (Sri Lanka) 831, 4 Saeed Ajmal (Pakistan) 824, 5 Ryan Harris (Australia) 796.
Also: 10 Trent Boult (NZ) 729, 13 Tim Southee (NZ) 699.