I honestly think that my T is close to the ideal T for me - including the fact that he has some flaws that make him human.

My list is similar to many others.
These ones I get with my T:
+ strong sense of confidentiality
+ sense of humour that tallies with my own
+ punctual
+ very few cancellations
+ allows more than one session a week
+ fully bilingual, and allowing me to choose which language to speak in session (extremely uncommon characteristic, I believe)
+ calm and patient
+ very few self-disclosures
+ experienced
+ male
+ completely non-judgmental, towards me and other people
+ background in academia, which is important for me because it means he can really understand my work situation
+ ability to inspire trust
+ giving me the choice to lie down or sit up
+ sharing some fundamental principles of my world-view - there are very few that are necessary, but those really are necessary

Things I wish for:
+ shorter vacations - although that's incompatible with the level of experience that comes with increased age, and in any case I wouldn't want a T who didn't practice good self care
+ better memory for some things - T remembers a lot of things I tell him, but sometimes he forgets stuff that's rather important
+ possibly also that he'd say that he cares about me - though in reality that might freak me out, so I don't know