Possessive for a third person and a first person

Solution 1:

You could transpose the words to "...work done by Bob and me" or "...work Bob and I did."

I would rewrite the sentence to avoid this clumsy construction and use the humble pronoun our.

Something like this would read well:

Bob and I are working on a project; our work was a spectacular example of eloquence.

Or:

The Annual Report Writing Team was composed of Bob and myself; the team's work was exemplary.

Sure, there's a way to do it without pronouns, but it'd be clumsy and would simply call attention to the language rather than the message.