I believe ML-KEM is the standard algorithm for post-quantum asymmetric encryption. I think it's slower mainly because there's not good hardware support, but it shouldn't be a big deal because most encryption is hybrid where you only use the asymmetric crypto briefly to share a secret you can use for symmetric cryptography.

ML-KEM based on a lattice problem called "Learning With Errors", and there are similar lattice-based algorithms which have no known quantum speedup. Most traditional asymmetric encryption algorithms are based on number-theoretic assumptions like the discrete logarithm problem or the RSA assumption, which are broken by Shor's algorithm.

Symmetric cryptography (AES and SHA hash functions) are post-quantum resistant for now. Grover's algorithm technically cuts their asymptotic security in half, but that doesn't parallelize, so practically there is no known good quantum attack, and cryptographers and standards agencies tend to not worry about that. You can keep using those.

[edit: according to the sister comment posted simulataneously ML-KEM is faster than X25519. good to know!]