Pompiers!

From BoardGameGeek:

Pompiers! is a trick-taking game for four or five players where the players aim to complete certain "missions", such as winning exactly 1 trick or winning no red cards. The game comes with a deck of four colors, with ranks from 1 to 15, and has a kitty (un-dealt cards) of size 8 with 4 players and 10 with 5 players; one card from the kitty is revealed as the trump suit each hand. The trick-taking phase follows the standard rules of must-follow suit, with the highest trump card winning the trick, and if none were played, the highest card of the lead suit wins the trick. The players keep tricks they win in a 2x5 grid marked by tokens. After each round, players determine who earns points for each available mission. There are 5 basic missions each game, and they can be achieved once each hand. Additionally, there will be a selection of "emergency" missions that can only be completed once each game. The game ends after 5 rounds, with each basic mission being worth 5 points and the emergency missions being worth 2 to 4 points. The player with the most points wins.