* A small golden cup: This is the only object Bilbo specifically asks for.
* A few other trinkets: Bilbo is not greedy and only takes a few other things, which aren't specified in the book.
It's important to remember that Bilbo isn't after material wealth. His focus is on getting back home safely and not getting caught up in the greed of the dwarves. He doesn't take anything he doesn't truly need.