Flask -> Axum (see also https://www.arewewebyet.org/topics/frameworks/#server)

SqlAlchemy -> Sqlx or SeaORM

psycopg2 -> postgres and tokio-postgres

requests -> reqwest

BeautifulSoup -> scraper

Searching for packages on lib.rs, crates.io or github usually works.

There will be differences of course. The ecosystem is not as complete. On the other hand, writing the code and having it work the first time is easier once you know the language.