Ive always thought of myself as a non manly man as well. For me, while i dont enjoy playing sports i do watch them on tv. For me thats good enough. I know nothing about cars or a million other stereotypical manly things but i know some things about baseball or football. Find one thing you think is manly that you can enjoy. Just keep an eye out for something and you can find it.

Some things need to grow on you like mold to enjoy. When i had friends, i noticed that the stuff they made me watch/do eventually grew on me. For a totally non manly example my niece used to make me watch Cats on vhs several years back over and over again. I hated it at first and inwardly groaned every time she put it in but eventually i started looking forward to one song that stunk the least. Then more repetition and i liked that song and found another i didnt hate. It grew and grew and right before she got sick of it and stopped watching it i actually liked watching the show. Go figure