I think the creation of the clone army and the beginning of the Clone Wars are important (unless the PT doesn’t count in your canon). That said, it could probably be skipped for the Machete Order, definitely fixing Anakin’s relationship with Padmè, Jango being the “genetic template” and Jar-jar’s speech in the Senate.
Honestly, I myself skip both TPM and AOTC if I can’t rely on fanedits (for example when I watch the Star Wars films with my parents, who don’t understand English, so we have to use the original Italian versions).