There are a number of projects that can be undertaken. Here is a brief list, split into ones that are good for beginners to attempt, and those that would be more successful once you have gained confidence and proficiency.
Easiest beginners projects:
Figures: Staffordshire, Bisque, Continental, Oriental
Vases: Handles broken or missing, chips
Teapots: Broken spouts and handles, missing knobs
Stoneware jugs, crocks, mugs
Dolls, bisque or china, damaged hands, feet or shoulders
Note: some glass, especially colored and translucent, can be repaired or restored by the same principles as for china.
Thin, translucent dinnerware
Hairline cracks, long cracks
Soft, crumbly pottery
Dolls, bisque or china, facial breaks
Except for soft pottery, these are easy enough to bond, only harder to paint than projects listed as beginners.