When posting a caption for a picture of Bob and me together, which is correct?
"Bob and me"
"Bob and I"

What about "Bob and myself"
Strictly speaking, only Bob and I.
InchoateknowledgeStrictly speaking, only Bob and I. I agree.

It just depends on what you consider to be the elipsis. "Bob and I [are in this photo]" as opposed to "[This is a picture of ]Bob and me".
Teachers: We supply a list of EFL job vacancies
Bob and me I (together)

nominative case here
Absolutely never Bob and myself!
"Bob and I" is correct.
Students: Are you brave enough to let our tutors analyse your pronunciation?

You would NEVER say "this is a picture of I" but you will almost always say "this is a picture of ME"