I don't mind an accent whatsoever up to the point where it becomes so intrusive that I don't understand what they're saying at all and even then, I still have a lot of respect for the person for speaking another language. Although I can't help but completely become infatuated with the more delicate accents like Scandinavian, Greek or a heavy French accent for example. I just find them very interesting and even quite beautiful to listen to for some reason.
The one pet peeve I do have is with extremely fake and forced accents, that just kind of starts to get irritating after a short while. Especially a fake Russian accent, goodness me that gets on my nerves.