This is pretty much exactly what I was gonna post haha.

SNES, Switch, and Wii are my top 3, all of them 9/10 systems succeeding 4-5/10 systems in my opinion.

This may be controversial but I'm also gonna go with PS2 to PS3. The former never really interested me, as I found games of the 6th gen mostly meh, but the latter is one of my top 6 systems of all time thanks to its much more interesting and appealing games library.

Well, from my personal experience it would be the Wii U to the Switch. I don't really have a lot of bad memories of the Wii U ... I just have few memories in general. I really liked it for the first few months I had it. After that, it was mostly just a dust collector. 

But, I think the transition from Xbox to Xbox 360 is something worth mentioning. 

Exactly what I was going to say!

I'm hoping PS5 and Xbox Series can join this category, though it is far too early to say.

Yeah, this too.

I played Soul Calibur, Dead or Alive, Marvel vs Capcom 2, and Power Stone 1 and 2 and I was totally in heaven.

PS2-PS3. Wide-screen became standard for all games, and at 16x9 resolution. Worlds became bigger, and it redefined story-based games. So much so that a large chunk of them got re-released for PS4. GTAV also released on PS3, and we're seeing GTAV again on PS5.

Not only that, PS3 was backwards compatible with PS2, and PS1 games, and had compatibility for others, like PSP Minis, and some Neo Geo games also got supported. PS2 gave us Jak 2, which isn't emulated properly on PS3, and PS3 gave us Beyond: Two Souls. Different game types, but Beyond never would have been possible on PS2, and not only is it on PS3, it's also on PS4, and PC. As well as Flower, and Journey. So many games in the PS3's library transcends the PS3's generation. It happened too with Dreamcast, with games like Marvel Vs. Capcom 2, and Soul Calibur, but overall, PS3 is still better than the dreamcast, as the PS3 is a multi-media device built for 16x9 resolutions, and the PS2 was the worst of the generation. It could be argued that the Saturn was actually better than the PS1 on paper, but the full potential of the console was never tapped into. Especially if you look at some multi-plats, like Mega Man 8, Marvel Vs. Street Fighter, and X-Men Vs. Street Fighter, which were all better on Saturn, not PS1.

The Dreamcast was the last and biggest real strike in quality gap for a new released console. It looks to me that after this, we only saw consoles coming out with just a little visual gap, and had to wait until the mid-end of a generation to truly see the difference with the previous gen.

I disagree, the Wii has many good games.

PS3 -> PS4

GameCube to Wii
Wii U to Switch
PS2 to PS3
Dreamcast to nothing