I'm never closed to any type, but I have mental hurdles to get past with these types:
INFJ - Whiny. Self-absorbed. Delusional. Victim Mentality. Snobby. Makes people walk on eggshells, then they act like they're a martyr. Hypocritical. Never as smart as they sell themselves to be. Have to express their "insights" in a vague & brief yet complicated manner because close inspection shows they're shallow. Kind of like me, but with organized closets & lack of humility. Never make me laugh (it's sad when
I'm the funny one). Kills them to give a compliment to someone else that doesn't really flatter their own supposed generosity. I could write a book on the downsides....
ENFJ - Never gets past flirtatious banter which is awesome enough to keep me hanging around awhile. Once in awhile they toss you a nugget of wisdom, but then half the time it's something they read somewhere else. Love their gurus too much; talk in "we" style making them weirdly impersonal & yet sappy at the same times. Rip-off other people's cleverness & depth. So much promise, so little delivered. Still kind of want one

.
INTJ - they get smitten, I'm intrigued...then it doesn't go anywhere. Not sure why. Could work if physical attraction, compatible beliefs/goals & common interests aligned, and if we both didn't have a tendency to fall off the face of the earth out of contact with people for weeks or months on end. Seen enough INTJ/INFP couples who seem thrilled with each other to keep me open to it.
INTP - too argumentative, so much bias they can't see out of their butt, often lack empathy, always want me to be their therapist (NO, I cannot spend my life teaching male INTPs how to get in touch with their feelings). Grooming habits are sketchy. Ability to financially support themselves is questionable. May think verbal/emotional abuse is funny. This one is sad because INTPs also: can give the cutest, most genuine, creative compliments; can be so playful & clever & definitely seem like they want to create a secret little world with their SO (YES, me too); are the only people as obsessed with theories & the books they read as me, and who actually want to talk about it & take it too seriously.
ESTP - Just started dating one. Wonder how we share the same planet. Concerned how this will end, because I cannot see it going off into the sunset. "Fun fun fun til daddy takes the t-bird away". I always think of Beach Boy's songs with ESTPs - shallow, but catchy & undeniably fun.The ESTP told me a mushy story intended to make an ISFJ melt (not MY cold Fi heart), and all I could think about was "The Benjamin Franklin Effect". Debated sharing my thoughts on it. Decided not to. See a future where all my theoretical musings are repressed because I'm too nice to torture someone with them when they don't care about such ideas. They always seemed bummed out that I don't "do" a lot. "What do you like to do?" says the ESTP. "Why, I enjoy pouring over literature & poetry by the seaside, " says me. ESTP scoffs, "No, I mean what do you like to DO. BTW, I hate reading".
ESFP - Pretty much the same as ESTP, but with more emotional depth. Because of righteous Fi (love my FPs!), they often will tolerate some theory talk if it seems meaningful & related to human relationships. Make better buddies than romantic partners.
ESTJ - Despite probably having a lower IQ than me, they always want to instruct me. This will only work if we're naked all the time.
ISTJ - As long as they don't insist on being too boring & too obsessed with me,
maybe.
ISTP - Too dumb. Mutual repulsion.
ISFP/INFP - too masturbatory/incestuous
Just can't see it happening: ENTP, ISFJ (dad & mom, basically).
I know this is about MBTI, but enneagram types I'm also wary of:
5 - Their constant drivel about the nature of the universe & pretentious, condescending attitude towards me & my interest in makeup is tiresome. Even if the conversations go where they don't with most, a glorious place of theory & dry passion, I just don't have the energy for the spats or the skin for the insensitive jabs. Oddly enough, they require a massive amount of emotional energy for people who seem to offer it scantily. Often overlaps with INTPs; see "wants me to be their therapist/teach them how to feel & open up emotionally".
3 - I am not a trophy. I don't & won't exist to validate their good looks, talent, smarts or success. If only they weren't so good at being charming (see ENFJs).
7 - I am not a novelty. Happily, I grow tired of them before they bore of me. I WILL depress them & they WILL exhaust me. But I'm not totally closed to this one either.