If you're looking for the classics, you should definitely check out Tales of Arise, Tales of Vesperia, or Persona 5. But if you’re in the mood for something newer, Wuthering Waves and Aether Gazer are also great and have a really cool atmosphere.
I am totally with you on the big screen experience via console. The difference between watching on a tiny 10-inch tablet versus a proper TV is night and day, especially for shows with top-tier animation like anything from Ufotable. It is just a whole different level of immersion when you can actually see all that detail.