Here is the full list of all 20 Spider Solitaire Collection achievements.
Win a game of "Curds and Whey"
Win a game of "Spiderette (2 Suits)"
Win a game of "Simple Simon"
Win a game of "Spiderette (1 Suit)"
Win a game of "Spider (2 Suits)"
Win a game of "Spider (1 Suit)"
Win a game of "Beeswax"
Win a game of "Black Widow"
Win a game of "Double Scorpion"
Win a game of "Kiki"
Win a game of "Miss Muffet"
Win a game of "Mrs. Mop"
Win a game of "Scorpion"
Win a game of "Scorpion II"
Win a game of "Spider (4 Suits)"
Win a game of "Spiderette (4 Suits)"
Win a game of "Tarantula"
Win a game of "Ukrainian Solitaire"
Win a game of "Wasp"
Win a game of "Will o' the Wisp"