Interesting question. For me, I think it is reasonable for a client to ask anything that is not harmful on anyone (although the nature of what is or can be harmful can get ambiguous easily) and that can be realistically provided given the general profile, structure and limitations of therapy. I would think it perfectly fair to ask a T not to do things like touch, outside contact, even talking if that's what the client wants. And I also think it is fair to ask him to do things that can be done ethically in a session. But it is also fair on the therapist's end to refuse things they disagree with.

I am interested in this because just recently, I asked my therapist to provide more direct and thorough feedback on how he experiences me and what sorts of things he thinks I could work on in addition to my own goals. He was not enthusiastic about this request at all and sounded less confident than usually, but did not refuse it either and came up with one interesting observation so far that I find useful. Just said it is not how he usually works but he is open to trying unusual things.

My first therapist (a psychoanalyst) kept his interactions to minimum initially and I did not like that, so I asked him to engage more and make the sessions more like a conversation with me. He did that for me. I also asked him to discuss with me openly his feelings and behaviors when we kept running into increasingly ugly conflicts -- that request was refused multiple times.

I definitely think it is reasonable to ask them to take responsibility for their attitudes, behavior, mistakes. I also think it is fair to ask them not to place me into a box of their conceptional liking and jump to simplistic conclusions without being open to discussing it with me, but I think this can get refused by some that are very married to specific theories or modalities. In general, I think it is reasonable to ask not to force anything on me.