My older daughter, S, started fixing jigsaws from the age of 2. She started off with the 4 piece Spot jigsaws, and never looked back since. She can do puzzles that are up to 2000 pieces. She loves the challenge of jigsaws and can spend days figuring them out.
My son, on the other hand, isn't as interested in jigsaw puzzles. He fixed the odd puzzle or two when young, but was never really into it.
Little D loves jigsaws too. She started fixing them at the age of two. She did not like the 4 piece puzzles, so she started with the 6 pieces. She had progressed to the 16 piece puzzles in a short time. Every time we went out, she would harrass us to buy her new puzzles. The largest that she has fixed is a 30 piece floor puzzle, and she had no problems with it.
Yesterday, Little D pulled out her sister's old 60 piece jigsaw puzzle. She started working on it on her own.
After 15 mintues, she had completed all of it (58 pieces actually as 2 pieces were missing).
We were really surprised! Quite an achievement, considering she is not even 3 yet! Well, looks like she is like me. I love jigsaws too!