Stage Select
For top 3 developers, I'm just going to go with the first three that pop in my head.
Nintendo is my #1 favorite developer and also a company that makes me want to hate them on a regular basis.
They DO rehash titles too often, but get nowhere near enough credit for the many times they've Swithced ... up the formula. You can argue they rely too heavily on Zelda/Mario, but you can't objectively tell me every mainline game in those franchises has the same mechanics/aesthetic etc. If they did, there wouldn't be such heated opinions around Zelda II, Wind Waker, Majora's Mask, my preference for Sunshine over 64 etc. Plus, what genre HAVEN'T they touched with an original title? Even their JRPGs like Paper Mario and Pokemon tend to be the ones I'm able to tolerate more as someone who probably needs the hand-holding.
A big part of me wishes they would just get out of the console market already, BUT that's because I so badly want to play their first-party titles without having to pay for an all-new system. Plus, this may be more on the publishing side of things, but they are an innovative company (see: rumble, Switch, Wii, N64 joystick) even if they get a bit too cute with it sometimes. So I begrudgingly admit that maybe they should stay in the hardware game ... even if I'd really like the whole exclusivity thing to be done with already.
I really hate some of their business practices, especially when it comes to "whitelisting" only certain people who play nice with them to have increased access to their games as far as YouTube/reviews. Still, half the time even the blacklisted people admit there's something to like.
TL;DR Say what you will, but Nintendo IS the Disney of the video game world. Not everything they put out is gold, and some people aren't into it, but you expect a certain quality from them that the whole family can enjoy, and they create classics on a consistent basis.
Arc System Works may really only have two major franchises, but those franchises have everything I love about 2D fighters, which is one of my favorite genres. The animation and speed is ridiculous, the heavy metal guitar-driven music is cheesily on point, and to me they are the king of the niche they cater to.
They COULD pull way back on the convoluted story modes and have a more straightforward lore, but I still love the characters and have lots of fun learning each one's moveset. I really appreciate the deep tutorial modes in their newer games and have been a fan of the over-the-top stuff they produce since renting GGX2 for my older brother's PS2.
TL;DR I realize this is a bit of a wild card and by no means is this objectively one of the greatest companies of all time, but the metric I'm using here is what company pops in my head when I think of MY favorite games? Since 2D fighter is one of my favorite genres, it's this 2D fighting game-centric company.
On that note, Capcom has not only mastered some of my favorite genres, from the aformentioned 2D fighting with Street Fighter, side-scrolling action-platforming with Mega Man, and even a quirky detective game called Ghost Trick that is one of my favorites and why I still really need to play my Ace Attorney game, but they pop in my head first partly because their music pops in my head first.
If last episode's Stage Select had been "stage" themes, as opposed to "town/village," there would have been some Capcom on my list. I can remember just about every SFII: Turbo theme off the top of my head, we all know exactly why Mega Man is referred to as Rock Man in Japan, and even beyond music their games have such excellent style to them that always draws me in.
Plus, they are partly responsible for developing a game called Viewtiful Joe, so ... y'know, given my real name and affinity for movies and cel-shading, not to mention the game's unique mechanics and of course, music.
TL;DR This company has some innovative titles to complement the classics, and it has always made games with some of my favorite style visually and especially musically. Let's ignore certain business practices on the publishing end here ...
A couple runner-ups I want to mention are Insomnicac Games, because I've actually sat down and had lunch with the marketing team in 2014 at their Burbank studio when they were gearing up toward E3 and Sunset Overdrive's release (I also know that game was an XBOX exclusive because, while they liked how Sony treated them, Sony wanted the rights to the games they made on Sony platforms and XBOX let them have the rights to SO).
As proof, here's video of ... well, my friend Robbie introducing Ryan Schnieder to our Meet the Media class: https://www.youtube.com/watch?v=_1d9fI7opH4&feature=youtu.be
Also, I really wish Double FIne could better develop the actual game mechanics behind their incredibly (or maybe just Schafer's incredibly) creative ideas, but because Psychonauts has some issues and Brutal Legend should NOT have included an RTS focus, I can't bring myself to make them tops.
Chrono Cross 1996
Twisted Metal 2 is a game the neighbors had, which is why I was able to play the M-rated titles I did. We played the hell out of this darkly humorous battle car arena classic, making sure to take the Statue of Liberty's clothes off, laughing way too hard at the dinousaur-time-traveling Amanda Watts ending and Calypso's sick sense of humor, and pummeling each other in multiplayer while a metal soundtrack played in the background.
It was an immature, Mature-rated good time.
Honorable mention for me is Killer Instinct: Gold, which made my older brother break one of my N64 controllers, whether or not he'll deny it to this day.