Generation 3, and it was all because of the NES. But it was really much more than that too. I started gaming before the video game crash, and have been gaming ever since. But Generation 3 was really a huge watershed moment in console gaming. Generation 3 had this amazing evolution in gameplay that happened over the course of just a few years. Early NES games are things like Kung Fu, Balloon Fight and Bubble Bobble. Basically they are just home versions of arcade games. But a few years later you have Super Mario Bros 3 and Mega Man 2 and Final Fantasy and so on. These are much more complex game experiences that are made purely for the home.
Generation 3 is where you have the biggest improvements to gameplay for flagship games. It is also where you have the creation of the more classic game series than any other generation: Super Mario, Zelda, Metroid, Final Fantasy, Dragon Quest, Mega Man, Castlevania, Tetris, Metal Gear, etc.... The big companies were taking risks. They were experimenting with gameplay and a lot of great games resulted from that.
Honorable metions:
Generation 4 - It had two great consoles, and they perfected a lot of what was innovated in generation 3. Generation 4 looks better in hindsight, but Generation 3 was actually better to experience if you lived through it.
Generation 6 - PS2 had a lot of great games. I've always felt like those early 3D graphics really sucked, and I was never really excited about 3D gaming. But PS2 figured out how to make it work and a lot of great games came out from this.
Generation 9 - Switch is only 3 years in and already has a ton of amazing games. I also like that Nintendo is putting a lot of effort into highlighting the indies. I get my new gameplay from indies, and I get my highly polished experiences from Nintendo and other higher budget games. There are so many good games on the Switch that it could actually surpass Generation 3 as my favorite generation. I just have to wait and see how the Switch plays out during the next few years, but it is doing really well so far.