Like the Resident Evil 2 remake, Resident Evil 3 locks the animations of zombies in the distance to a mere to 30fps.
Now, while some might not notice, those with a keen eye or a powerful pc will easily notice the choppy motions of the undead before you get close to them.
However, thanks to Nexusmod user WT3WD, this is no longer an issue. FPS Zombies allows those far off, flesh-eating monsters to have full 60fps animations.
First, download FPS Zombies from Nexus Mods here. Next, launch the game and then run the file. All you have to do after that is press F2 to enable the script and F3 to activate the mod.

Now sit back and enjoy the fluid motions of zombies in Resident Evil 3 up close and from afar.