I cannot:
work on cars - just never interested me. I have no doubt I could if I really wanted/needed to (I did do some of my own repairs when I was a broke teenager), but it seems easier to just pay the mechanic. I can change a tire, though.
hunt/fish. Again, never interested me. Like cars, I suspect if this was a need, I could adapt to, and even enjoy, this.
work on ladders. I do not like heights, and am not comfortable on a ladder. So despite being handy, I'm not going up on the roof, and will even hire someone to clean the gutters. This is my big "not manly" thing, and it's never going to change.
I can:
Use tools / build / fix / etc. I will hire out for big jobs (major construction/decks/etc) at this point in my life, but I don't flinch when an outlet shorts out or I need to replace a faucet. I handle all the outdoor stuff, too (lawn, snowblower, pool, etc).
Shoot guns/etc. I own a bunch of handguns, and usually conceal carry.
I'm great with a grill. I have a BGE, and know how to use it.
I work out, and am in pretty good shape for 52.
I can also drive a stick, but haven't in 30 years, and probably won't again. I like whisky neat as well. Not sure how manly these make me, but they were mentioned, so...
My wife regularly comments that she likes that I can fix things / know how to cook / she feels safe with me / etc, so I guess that's good.