Don't forget that some games have very different PC versions even if they are available on the PS4. Minecraft has the Java version on PC with mod support, the mods available cover a wide spectrum and outdo most standalone games that attempt to improve on the Minecraft formula. There are easy mod launchers that you just install, select a mod pack and it does the rest for you. Terraria also has more content on PC I think.
Kingdoms & Castles (city builder, pretty simple and relaxed)
Factorio (Ignore the Early Access tag, they're only polishing minor things right now, everything else is finished)
Scavenger SV-4 (somewhat horrorish space exploration game)
Glittermitten Grove (AKA Frog Fractions 2)
TerraTech (block based vehicle building)
Anno series of city builders
Anything Zachtronics, as mentioned before (engineering puzzles, very open ended)
Stephen's Sausage Roll (hard but by many accounts the best puzzle game in existence)
Pharaoh Rebirth+ (Archaeology-themed Metroidvania)
A Robot Named Fight (Roguelite Metroid)
Creeper World 3 (tower defense vs a liquid that floods the map)
Environmental Station Alpha (hard Metroidvania)
Snakebird (very hard puzzle game)
Starward Rogue (bullet hell Roguelite)
Battlefleet Gothic: Armada (40k fleet combat game)
Star Traders: Frontiers (basically Rogue Trader The Videogame, feudal-sci-fi where you deal with aristocrats, spies, pirates and so on)
LISA (like a darker Earthbound)
Revolver 360 and Revolver 360 Re:Actor (shmups with a literal twist)
and of course the X series like X3 Terran Conflict (Elite-like space sims)
If you don't mind Early Access:
Raft (survival on a raft)
From The Depths (highly advanced block based vehicle construction game)
Astroneer (astronaut survival game)
While we're on the subject of looking for games, there's
a new Humble Bundle that looks good.
There are far, far more but remembering them all and then checking whether they are already on the PS4 is a lot of work.