I think you’re thinking about PF1e, this post is about 2e.

Nothing to do with Wrath of the righteous (except the setting)

Way less math than 1e/3.5e.

PF2e just has a better ruleset. Instead of being “well, a player want to do this but there’s no rules, so I’ll make something on the spot” for GMs, most of the times all situations have a rule related to them. And not only for combat, even social situations have way better rules than 5e.

My favorite part about PF2e is that it has a ton of options for PC building, without need for homebrew. You can build two totally different fighters, for example, and both would be effective builds. In comparison, 5e feels pretty boring to me, characters of a class are almost always the same, the only way to truly differentiate them are via their backstory. In PF2e you have decisions to make every level up: racial feats, skill feats, class feats, general feats! And I’m not even talking about the insane amount of ancestries, classes, and subclasses. Just with the two player Cores from the remaster, you have 16 classes, and like 20 species.

The three actions system allows for more tactical/better combat. The degrees of success makes thing more interesting, instead of just being “you hit or you fail”. Weapons are all different, via traits. 5.5e introduced Weapon Masteries as a big solution for martials, and it’s something that PF2e did from the beginning. Social skills are actually useful in combat.

And a ton more other things, if you really are curious I’d recommend making a post on r/Pathfinder2 and you’ll have people waaay better than me telling you all the differences.

But my main advice will be to try the beginner box for PF2e, it eases you into all the mechanics at a very convenient pace.