Surprised no one mentioned the Batman Arkham games or Tomb Raider reboot trilogy (2013-2018). Both are third person action games with simple, but enjoyable upgrade elements.
Arkham Asylum may feel a bit dated, but Arkham City and Knight should still feel pretty fresh. And I think the Tomb Raider games hold up well.
I also suspect you've played them, but the Uncharted series is also great.
Other mentions that fit the third person, decent-good story, and fast/fun action:
- Sunset Overdrive
- Hi-fi Rush (rhythm game)
- Bayonetta Series (DMC like series)
- Nier series
- Kena Bridge of Spirits
- Just Cause Series (I think the stories are a little weak for this series, more about sandbox play).
- Infamous series (superhero themed 3rd person action game made by the same people who made Spiderman)