INFP - They're cool if they can explain their feelings to us.
INTP - I like deep conversations, but it could get annoying... meh.
INTJ - We could plan for world domination together
ENFP - Almost the same as INFPs, except they rely more on intuition and have thinking as a tertiary function.
ENTP - The same reason as INTP
I didn't pick any sensory types because all the sensory types I know care nothing for anything deep, and that would bother me. I didn't pick any FJ's because their extroverted feelings would clash with my extroverted thinking, and I didn't pick ENTJ's because they're bossy.
Anyway, I could be wrong about all of these. You never know until you meet the right person.