I think a lot of the ski lesson programs start at age 3. If you aren't doing lessons and just want the fun experience, you might consider calling Breck and finding out if they'll allow you to take a 2 year old up on the lift to ski with you. It really is a preference imo, since a lot of folks who ski are in the "if they can walk, they can ski" frame of mind and others are more inclined to advise waiting til age 4. Every kid is different though.
If skiing isn't an option, Breckenridge is still a great place to go. There are a ton of activities to do and they'll still get a great snow experience and fun!
