Here are some figure skating video games that you can play on your computer or other games consoles.
Downloadable PC Games
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Twinkle Toes Skating - a game currently in development, which won a contest for upcoming games, but hasn't been released yet.
Ice Princess - This isn't really a 'skating' game, it's a tricky puzzle game where you have to move a frozen prince over icy lakes to rescue the princess.
Games on Nintendo DS
Imagine Figure Skater - Use the stylus to twirl and jump around the screen as well as play minigames to boost your skater's strength and earn money to spend on her costumes. There's also characters to interact with and date!
Princess on Ice - More of a rhythm game, where you tap the symbols in time to the music to perform your skating routine. Also with lots of costumes!
Games on CD
American Girl: Mia Goes for Great - Based on the books/dolls and aimed at very young girls. Design skating routines and play some minigames including skating trivia questions.
Barbie Sparkling Ice Show - I am not a Barbie fan, and according to reviews the 'skating' part of this is way too easy and only fun for very young players.
Michelle Kwan Figure Skating - This game is quite old and may be hard to find or to get to run on modern computers. You get to take a photo of yourself and use it to make a skating character, then click the mouse to try and jump at the right moment.
Thin Ice This is figure-skating in the old-school sense, where you had to make loops! Skate around monsters to drop them into the lake. It's hard!
Kuru Kuru Princess Catcher - Really simple flash game. It's in Japanese but you can understand it. Click the button to start, then click to the left or right of the skater to catch the presents people throw but avoid the bad buckets.