Okay. SO I have sat down and devised a list based of this list
here on this site.
My criteria was to try and validate the versions against there immediate console version contemporaries (generationally speaking) or lesser. For example, I didn't recommend VF2 & FV on PSN > SAT or Last Bronx & Dynamite Deka on PS2 > SAT either. Similarly, I didn't reference the likes of Sonic R on the GCN > SAT version.
I haven't included many import examples, but will probably add them later based on personal experiences influencing my opinion, objectively speaking - regardless of how much I love the Saturn. No fanboyism here.
Anything not on the list, I either haven't played on the Saturn or have never had the ability to compare them (i.e. Magic Carpet or Pandemonium vs the PS1 versions, from an objective perspective)
Anyway, here you go:
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Actua Golf 2 & 3 - PS1 ( > Actua Golf - SAT)
Actua Soccer 2 & 3 - PS1 ( > Actua Soccer - SAT)
Battle Arena Toshinden URA ( > Battle Arena Toshinden Remix )
Bug Too! ( > Bug! ) // Presumably
Bust-a-Move 2: Arcade Edition ( > Bust-a-Move 3 )
Courier Crisis - PS1 ( > Courier Crisis - SAT // gameplay, graphics and, most importantly here, price!!!)
Clockwork Knight 2 ( > Clockwork Knight ) // Presumably
Croc: Legend of the Gobbos - PS1 ( > SAT version )
Darius Gaiden ( > Darius II )
Destruction Derby - PS1 ( > SAT version )
Die Hard Trilogy - PS1 ( > SAT version )
Doom - PS1 ( > SAT version)
DonPachi - PS1 ( > SAT version )
DoDonPachi - PS1 ( > SAT version)
F1 Challenge ( > F1 Live Information & Virtua Racing)
FIFA Series (96, 97 & 98) - PS1 ( > SAT versions )
Galactic Attack ( > Layer Section II)
Hang On GP '96 ( > Hang on GP '95 and MANX TT )
Hardcore 4x4 - PS1 ( > SAT version )
Hi-Octane - PS1 ( > SAT version )
In The Hunt - PS1 ( > SAT version )
Krazy Ivan - PS1 ( > SAT version )
Loaded - PS1 ( > SAT version )
Marvel Super Heroes - PS1 ( > SAT version - runs better **controversial** )
Mechwarrior 2: 31st Century Combat - PS1 ( > SAT version )
Mortal Kombat 2 - SNES, PS1, 32X etc ( > SAT version )
Andretti Racing ( > NASCAR 98 )
NBA Jam Extreme - PS1 ( > SAT version )
NBA JAM TE ( > Space Jam)
Panzer Dragoon Zwei ( > Panzer Dragoon)
Raystorm (LSII) - PS1 ( > Layer Section 2 - SAT)
Resident Evil: Director's Cut - PS1 ( > SAT version )
Shinobi X ( > Shin Shinobi Den )
Space Hulk: Vengeance of the Blood Angels - 3DO ( > SAT version )
Starfighter - 3DO ( > Starfighter 3000 - SAT )
Street Fighter Alpha 2 Gold/Dash ( > Street Fighter Alpha 2 )
Street Racer - SNES ( > SAT version )
Tempest 2000 - JAG ( > SAT version )
The Need for Speed - 3DO or/and PS1 ( > SAT version )
Thunderhawk 2: Firestorm ( > Black Fire and Black Dawn )
Tomb Raider - PS1 ( > SAT version )
True Pinball - PS1 ( > SAT version )
Ultimate MK3 ( > MK Trilogy )
Vampire Savior ( > Night Warriors: Darkstalkers' Revenge )
Virtua Cop 2 ( > Virtua Cop & HOTD)
Virtua Fighter 2 ( > VF1 / VFRemix / VFKids)
Virtua Racing - 32X ( > SAT version )
Wipeout - PS1 ( > SAT version )
Wipeout 2097 - PS1 ( > SAT version )