i have seen some very cute ones here on designs by
cuties.

http://designsbycuties.cuteembroidery.com/4356402/Clara-Cow.html

I stitch on a lot of bibs and burps for babies. I use everything from fun sayings (like the 'got milk' one on cute), to the baby's name with a small design (like a teddy bear), to baby monogram if it's a formal bib like for a christening, to sew many stuffed animal designs. I've found most depends on your personal taste (no pun intended ;) and if the bib is meant for every day use or for show like the Christening bib. I do try to use less dense designs, or I remove some of the underlayment if the design is very heavy. They seem to stitch better on tiny clothes and bibs. Hope this helps.
Marion

1.baby socks
2. all kinds of baby designs
3. pram
4.bears
5. animl gritters
6. babythings

hope you see something you like here
and there are lovely designs in designs by cuties too.

and cute text is also possible.

Here are a whole bunch of baby designs, and many would look adorable on a bib. All are 40% off too!
http://www.starbirdstockdesigns.com/asp_pages/catalog.asp?kwsearch=baby

Thanks!