I wouldn't consider myself anti-social much of the time as much as decidedly un-sociable. Then again, I don't find what most people call socializing all that sociable. Parties, concerts, holidays, as such simply don't interest me.
That said, I've some really beautiful relationships. We hike in the desert and mountains, sometimes watch a movie, usually accompanied with discussion afterward, there's music at times, conversations of levity and depth, affectionate touch. Sometimes this falls on, and within, what most consider party, concert and holiday, but most often not in my case. They simply happen when and where they do. We each desire to be with the others.
Honestly, at times this intimacy is incredibly challenging and painful. In my case, what 'should've' come from my parents perhaps, came later in life and even after almost 30 years with some of these folks, what I can only describe as 'armor' makes itself felt, most often by way of a subtle sense of inexplicable fear. Sometimes it announces itself as a note of sadness, which I'm able to follow somewhat: a very real feeling that most people most of the time, and for myself during periods of my own life, of the rarity of this intimacy too delicious to label the blandness called 'love.'
For me, to be 'anti-social' is to be against some-thing, every bit as demarcated sociability social is to be for some-thing else. The emphasis becomes set on 'being' some-thing or another firstly and only within some very narrow parameters of interpretation and acceptability . It's another sneaky way of thingifying, counting, and thus immiserating, multitudinous and multifaceted ways and senses of participation with others.
As others have mentioned, cat and dog friendships, while not unproblematic (from certain perspectives anyway) within our uber-civilized environs tend, I feel, to indicate a host possible relations, and yes, sociability with a greater dynamic living world. As a living instance, and I feel this increasingly as I live, it's not only desirable to expand this sense of relation with 'the world,' but perhaps we, each one, are in dire need for this (re-)connection, severed as we have been by way of normative concepts placed upon each one at birth to immiserate, frustrate, confuse, chaining every one to a wall with only that barred and narrow window from which to sense the world...if at all.
All said, I sense the active expansion of possible sociabilities as a major aspect of my anarchic process as well as a way in which this process chases off the the twin curses of utter despair and the emptiness of hope.
Edit for clarity and typos.