General Sales:

Console - Sony
Portable - Nintendo
1st party - Nintendo
3rd party - Sony
Revenue - Sony
Operating profit - Nintendo

Nintendo, easily.

The one that has been a constant for all these decades, and the one that is less dependant of other companies.

There's no clear domination as a whole. Domination only tends to occur in certain aspects.

Home console units sold: PlayStation
Online subscriptions/services: Xbox
Dedicated hardware specs: Xbox. Considering that the Xbox, Xbox One X, and Xbox Series X are more powerful than their competitors I have to give this to Xbox. You could potentially throw in the Xbox 360. It may be weaker than the PS3, but it was a lot easier to develop games for.
First-party software: Nintendo
Handheld console units sold: Nintendo
Freedom/customization: PC gaming (No matter what OS you use)
Casual games: Mobile devices
Most affordable hardware: Nintendo
Hardware and software profit: Nintendo

Over the long run, Nintendo.  Nintendo has made the majority of the games that have impacted the industry the most.  Nintendo created the current console gaming paradigm with the NES and we are still under this paradigm.  Even when they are at their lowest, they can't be ignored.  And when they are at their best they leave people in complete awe.  

Nobody. Both sony, ninty and mic are big players.

Reggie

How would a Sony console do if it had the 3rd party support of Wii U? Probably lose billions and bow out. Nintendo wasn't financially in any trouble. Some bumps in the road but still fine. Nintendo is the most resilient gaming company. The only ones I know of that can go from a 20 or 13 million-selling system o a 100 million unit system. They still make portable gaming work in a smartphone cloud gaming world. Nintendo keeps trying to innovate. They fail and fail hard. Then succeed and really succeed. Even when they fail they still inspire. Sony you know added the touchpad as a last-minute response to Wii U just in case Wii U succeeded.

Sony has a long-running meme or Nintendo innovated and Sony imitates. Not that Sony hasn't innovated in hardware as now everyone had a capture button. The last system with built-in capture ability I think is the Wonder Mega and the Sharp Famicom system. Wii U you could cheese it with the browser on the Gamepad. Sony is lack for a better term "Terminally hip" and so they sell very well by appealing to the broadest demo. Sony did not survive handhelds. I remember reading years ago Sony was taking such heavy losses on PS3 they entertained the idea of quitting in 2007. In 2007 I could see them doing that as they still had a hold on the TV market and other electronics to be healthy.

Sony relies on 3rd parties as much as Nintendo traditionally relies on 1st party to succeed. As long as Sony does they will likely sell the most consoles but the fact Nintendo the oldest of the 3 is still making hardware when NEC, SEGA, and Atari and a few others long since threw in the towel is something to be said. They have lost battles to Sony but are still around. So far Nintendo is winning the long term war. Their games and hardware has made the biggest impact.

The shareholders who control the AAA publishers

Other than the 7th console generation, every gen since the third (NES gen) has had a definitive winner.

3rd- NES
4th- SNES
5th- PS1
6th- PS2
8th- PS4

Switch has no possibility of winning a generation due to releasing during the middle of one. We all know Nintendo is the face of handheld gaming (non mobile). Sony has become console king. Long story short, both have a pretty equal legacy in gaming history if you ask me.

Apple