On the symmetric side, I think "AI finds some new classical attack" is the main thing to worry about at the moment. Small probability of p(doom) in the sense of AES falling, but nonzero nonetheless.
As far as I know, the current state of AES-256 is something like "this attack breaks AES in 2**254 instead of 2**256 if we have something like 2**80 bits of ciphertext to work with in the first place". That's nice for getting papers in crypto conferences but not something to lose sleep over yet, but an AI trained on the entirety of LNCS and ePrint might be a different matter.
That and side-channels, but we've known about those for a while.
Whether AES or ChaCha holds up better in the face of AI is an interesting open question for which I can't offer anything better than a coin flip.