I'm taking as examples Sony consoles simply because I have more experience about them and played the best games on all Playstation; the biggest jump I noticed have been from PSX to PS2 and from PS2 to PS3 in terms of Gameplay mechanics, physics, animations, system collision, AI. This is really CPU stuff, and if you look respectively at their CPU, well, it's so evident the huge leap in performance going from PSX to PS2 and from PS2 to PS3 :...
Well, the difference in power is night and day, that's why the jump in the forementioned categories was bigger.
Well you're comparing platforms with limited potential with more modern specs, but game design also changed. Theoretically developers could even now work with the limited capabilities of the PS1 and create experiences unique to that platform.
I think you're confusing aspects that make games look better and actual gameplay/game design. In a nutshell, game don't really feel that different from the last gen, it just more refined in regard to visual quality. There are example that boosted player counts and enemy AIs, maybe the environments are more detailed, etc. Fundamentally the games still feel about the same though.
River City: Rival Showdown for 3DS (3/5) - River City: Tokyo Rumble for 3DS (4/5) - Zelda: BotW for Wii U (5/5) - Zelda: BotW for Switch (5/5) - Zelda: Link's Awakening for Switch (4/5) - Rage 2 for X1X (4/5) - Rage for 360 (3/5) - Streets of Rage 4 for X1/PC (4/5) - Gears 5 for X1X (5/5) - Mortal Kombat 11 for X1X (5/5) - Doom 64 for N64 (emulator) (3/5) - Crackdown 3 for X1S/X1X (4/5) - Infinity Blade III - for iPad 4 (3/5) - Infinity Blade II - for iPad 4 (4/5) - Infinity Blade - for iPad 4 (4/5) - Wolfenstein: The Old Blood for X1 (3/5) - Assassin's Creed: Origins for X1 (3/5) - Uncharted: Lost Legacy for PS4 (4/5) - EA UFC 3 for X1 (4/5) - Doom for X1 (4/5) - Titanfall 2 for X1 (4/5) - Super Mario 3D World for Wii U (4/5) - South Park: The Stick of Truth for X1 BC (4/5) - Call of Duty: WWII for X1 (4/5) -Wolfenstein II for X1 - (4/5) - Dead or Alive: Dimensions for 3DS (4/5) - Marvel vs Capcom: Infinite for X1 (3/5) - Halo Wars 2 for X1/PC (4/5) - Halo Wars: DE for X1 (4/5) - Tekken 7 for X1 (4/5) - Injustice 2 for X1 (4/5) - Yakuza 5 for PS3 (3/5) - Battlefield 1 (Campaign) for X1 (3/5) - Assassin's Creed: Syndicate for X1 (4/5) - Call of Duty: Infinite Warfare for X1 (4/5) - Call of Duty: MW Remastered for X1 (4/5) - Donkey Kong Country Returns for 3DS (4/5) - Forza Horizon 3 for X1 (5/5)