Geralt_of_Rivia: Simply ask people to show you a 2D action game on PC that is better than
Turrican 1 or
Turrican 2 that wasn't made at least 10 years later.
F4LL0UT: Rayman. I agree that it took a while for PC gaming to catch up but let's not exaggerate. With VGA graphics and soundcards PCs already caught up in the early 90's.
You are right about Rayman, that game is comparably good when it comes to gameplay and graphics. However, since it's a jump 'n' run game you can't shoot so there are by far less object (no shots and far less opponents) on screen.
Early 90s PC weren't good enough to make equivalent 2D games because the Amiga had custom chips which supported hardware sprites and handled graphics via bitplanes which made smooth and fast scrolling easy.
VGA handled graphic differently and had no hardware support for scrolling or sprites. You had to program that in software. And even though the CPU was faster on PCs it was by far not fast enough to make up for the difference the custom hardware made. At least not until much later. That's why the old 2D PC games were crap when compared to the Amiga games.
But it is true that VGA marked the beginning of the end for the Amiga. VGA hat more colors in low resolution and when you reduced the colors you could get higher resolutions than on an Amiga. Games that didn't require fast and fluid graphics, scrolling or many sprites on screen at the same time (like graphic adventures, think Lucasarts, Sierra, etc.) made good use of VGA and then there were also the early 3D games (even if it was faked 3D) like Wolfenstein 3D and Doom which required faster CPUs than the Amigas had for the calculation.
That was when the Amiga began to get sub-par ports or no ports at all and went into decline. Commodore made the mistake of thinking they were the king of the hill and thus untouchable, so they wouldn't need to upgrade their hardware. PCs were seen as business machines because their far inferior hardware was much more expensive and only required for businesses for compatibility with old software. But the PCs capabilities advanced very quickly at the time and the prices dropped fast, too. When Commodore reacted with the A1200 and A4000 models it was too little and too late.