I do occasionally end up saying "Do you want coffee/DVDs? I'm free tues, wed, fri night, thu 6-8, sat 12-7, sun 9-11..." and cringe at myself :) Though if you've already established you do want to meet, but are both busy, it does make sense. Not as a first gambit, though :)
I actually don't see it as much of an issue, even for a first approach to someone. I might leave out a list of possible times until they reply in that case, but I would typically still take the same approach. For a first contact, I would probably suggest lunch rather than dinner though, because in some sense it is lighter weight, in that both parties have an easy out, whereas a dinner thing implicitly has the assumption of staying in someone's company for much longer.
I do occasionally end up saying "Do you want coffee/DVDs? I'm free tues, wed, fri night, thu 6-8, sat 12-7, sun 9-11..." and cringe at myself :) Though if you've already established you do want to meet, but are both busy, it does make sense. Not as a first gambit, though :)