I'd give it more than a day, imagine you're holding a controller for the first time in some ways, but yes it's mostly opening up new experiences rather than converting old ones to VR, not in 1:1 equivalents at least (cockpit games generally don't need much adaptation though, racing, flying, space combat etc., though when they take full advantage of VR like VTOL VR does it's a beautiful thing too). For fighting you get stuff like The Thrill of the Fight or Blade & Sorcery (and nothing PVP just yet) and for adventuring stuff like Red Matter or Lone Echo which all work very intuitively and naturally but they're most certainly not Street Fighter or point & click conversions. For PVP FPS the closest you'll get to old school is probably Space Junkies. Echo Combat is great with its zero gravity freedom as well but I guess I wouldn't call it old school in the same way as Space Junkies, it's quite a different beast despite the similar theme (I certainly find it better but not for instant action, there's more to it) . Personally I generally prefer realistic FPS like Onward and don't think they're less old school (if anything more so, everybody's going for all out action stuff these days even if the themes are realistic, while we used to get good shit like Rainbow Six, Ghost Recon and SWAT back in the day, Onward is a bit like that). For singe player I find Stormland has the most freedom of movement of all between climbing and gliding and hovering and all that stuff which makes you feel almost like Iron Man but it's not at all old school in design, Half-Life: Alyx will probably be the most traditional on that front.given the series roots in adventure and puzzles and not exactly Quake-like shooting but somewhat slower paced, more down to earth systems, which should translate great with Valve's efforts to properly, fully take advantage of VR. The Walking Dead: Saints & Sinners looks similarly meaty though.
Old The Thrill of the Fight trailer cos it shows how it works better, the game is a little prettier now.
VTOL VR (I believe you can use a physical joystick if you want for that part).
DiRT Rally.
Red Matter.
Lone Echo.
Space Junkies (though I rather play all this standing).
Echo Combat.
Stormland.
You've seen Alyx so here's Saints & Sinners.
No (reasonable) solution to the res/hz problem, that's up to the user, I go back and forth fine. Though Index does have an 144hz mode and Pimax higher res, you'll be hard pressed to have the hardware to run the most intensive games at such modes natively without concessions elsewhere in other settings.