Xbox 360 (and later PS3) was the first HD Console i bought. Compared to PS2 it was a huge improvement.
PS2 was also cool since it was a big upgrade from PS1 graphics.

SEGA Game Gear. When I got older I learned it was a portable Master System. As a kid it seemed almost as good as a Genesis. Mortal Kombat and Sonic looked good on it. Of course Nomad came out in 1995 and literally was a portable Genesis but Game Gear in 1991 next to the 2 year old Game Boy looked like a massive leap. Just sucks about the battery life.

N64 (first console that felt like solid 3D), Dreamcast (first console that felt like home arcade machine), PSP (high end portable that could also play movies pre-iPhone), and Switch 2 now (first portable console that feels like it can play modern 3rd party games).

I'm a baby, so this answer will sound awful... but Wii U. I grew up on GCN and Wii. Never played anything outside of those two systems, nor did I play any games from other generations. In my eyes, there were two video game systems: The one that can play my GCN/Wii games, and the Wii U. (I always preferred the former because I only ever played GCN.) I was hoping to stick with Wii for all the Skylanders games, but Activision dropped support with the release of Superchargers (September 2015).

That said: The only games I used the system for was Skylanders, and there was a marked leap in performance. See this comparison from Skylanders Trap Team. Back in the day, this blew my mind!

Then comes Nintendo Switch, and I was blown away once again (specifically by the fact that I could play what was once a TV experience on a device the size of my phone). I remember genuinely believing that Mario Odyssey was the greatest looking game of all time for a while... little did I know how graphically behind Nintendo was compared to Sony and Microsoft lol. The Last of Us: Part I (PS5) was my first modern gen experience, and I remember being floored by the visuals. Then I played Astro Bot, and was blown away again. And then MarioKart World... I was stunned seeing a Nintendo system running so well.

There was a while there during the PS3/360 days that, to me anyway, it really felt like anything was possible and the only hard limit was what developers could come up with.

That may sound silly now, with how obviously limited their games seem today, but at the time, seeing graphics go from PS2/Xbox/Gamecube levels to Gears of War, and then to Bioshock, COD4, and Uncharted, then Dead Space and Gears 2, then Uncharted 2, Killzone 2, Gears 3, etc in just a few years, the constant escalation in spectacle felt almost exponential.

Dreamcast at launch and that first year. Sonic Adventure. Soul Calibur and later Shenmue were generational leaps. Shenmue was something else.

Sure you are young, the only time i was blown away from graphics it's when i first bought playstation 1 and played Fifa 97 and Resident Evil 2. :P

it was a huge improvement from 8-bit consoles (I didn't own SNES or Mega Drive).

PS3. More specifically, Metal Gear Solid 4. I compared every game of that time to MGS4'S graphics and at the time I had never seen a game that could interact with the world and characters the way this game did.

Then there was Uncharted and God of War III. Pretty mind bending experiences coming from PS2 where my brain had decided "this is how 3D games will always look."  In a lot of ways games peaked this gen.  Graphics since aren't much more than "cherry on top" detail.

Gamecube/OG Xbox also felt insane for the time, on a CRT TV stuff like Rogue Squadron 2/3, RE4, Conker, Riddick, Doom 3, etc really felt like "wow, graphics have peaked, surely it can't get much better than this". (which of course it did, but at the time it just felt that way)