Here is the full list of all 11 Infinity Trip achievements.
Score at center 100 times.
Score at center 50 times.
Score at center 20 times.
Score 20 points in a single game.
Score 50 in a single game.
Score at center 5 times in a roll.
Buy any Tier 1 Ship (300 coins)
Buy any Tier 2 Ship (500 coins)
Buy any Tier 3 Ship (1000 coins)
Score 100 in a single game.
Score 200 in a single game.