Trinity, UCD, and UCC don't do interviews, but RCSI does.
I'll be applying to these first 3 schools (TCD, UCD, UCC) this year (from Canada), and consider the lack of interview to be a bit of a mixed bag. On the one hand, if you have strong academics, you won't be given the chance to "screw it up" on the interview. Of course, on the other hand, you don't really have the same opportunity to impress the admissions committee with your dedication/interest. Sure, they let you write a 2 page essay, but it's hardly a substitute for a face-to-face interview.