Between Kuja from FF9, the protag from Vagrant Story with his assless chaps and the male protag from FF12, Square was very fond of barely-dressed dudes in the late 90s and early 2000s
The game here is Threads of Fate, a 1999 platformer/light action RPG from Square. I'd never even heard of it until I saw it highlighted in one of Sean Seanson's videos. Visually, it's pure late 90s PS1 Square greatness, with gorgeous and colourful graphics, with the character models looking especially lovely 
The soundtrack is very nice as well as expected, and playing this I'm once again reminded of how much I love the sound effects in PS1 Square games. Instead of samples, every single sound is some type of synthetic chirp or warble from the PS1 sound chip.
PS1 graphics style looks so good. Some people attempt to recreate them in open-source engines like the godot-game engine. But that attention to detail, while living with the limits of past technology is hard to replicate.
Threads of Fate/Dewprism legitimately has some of the nicest visuals I've seen in a PS1 game. I made a follow-up post about this game where I posted some clips from this game showing off how impressively lively and animated its characters are. I don't recall many PS1 games with character models with this much moving hair and clothing and they even have eye tracking
I recently noticed how important eye and head towards the player can feel movements can be especially with minecraft mobs. So cool you mention the eye-tracking behavior, this is the attention to detail I like from devs.