Persona 5, if you're quick about it, is a 70 hour game. The anime is less than 10 hours long. Even cutting out the time you spend in the game doing straight up gameplay and systems management that an adaptation wouldn't show, you can't shove that amount of plot into a 20-something episode anime season and expect it to be paced reasonably. You end up with a show that never seems to have enough time, where they rush through every plot point from the original slavishly. They even spend time covering specific gameplay mechanics like baton passing same as in the game, which is fun, but doesn't make a lot of sense in the context of the anime.
Pace aside, the show isn't very pretty. There's the occasional cool-looking effect, or fight scene, largely it's unimpressive stuff. Because the anime sticks so closely to the game, it's in the rough position of having to be compared to a game that the devs spent years tarting up to the point where it's the most stylish JRPG ever, and the anime doesn't stand a chance in that fight. When it imitates aspects like the all-out attacks, it just looks pathetic, you can really tell you're getting the amateur version of the beautiful special moves the devs made. There really is no reason to watch this anime.
If you'd like a version of Persona 5 the Animation that's better in every way, that's the Persona 4 anime adaptation. It stuck close to the original game too, but the additions it made were very welcome(their take on the silent protagonist Yu is god tier and hilarious, much better than what Ren gets in Persona 5). P4 also had a shorter story that was more focused on the party members and their inner demons, giving that anime way less pacing issues and a lot more heart.
If what you want is a better version of the story in this anime? Just play the game. It's better in every way.
