Open world with customizable character?

I'm looking for Open World games (in the style of GTA, Watchdogs…), where you have a lot of freedom in the creation / adjustment of the player character (even more than Watchdogs 2, but I found the rocker, and punk clothes there especially great and outstanding.)

Name everything that comes to your mind as long as it fits into the frame (no MA settings and co.)

The games should be for PS4, the very first X-Box (before 360) or the classic Wii (also the first).

Tom Clancy's Ghost Recon Wildlands or The Division (2) would sound appropriate.

With significantly less customization the Wildlands (albeit different setting), Division / 2 and Saints Row 2-4. And that was it already.

Open World in modern city setting with character customization that goes beyond simple basics, you can count on one hand across all platforms. And starting with the bar at the top does not leave much room for alternatives.

RPG's of course. Fallout (4 would be an option for ps4, new vegas is my favorite part, but does not exist for ps4) e.g.

Or saints row.