Also the whole "games were just kiddie stuff" before Playstation is one of the most disingenuous bullshit fairy tales that's pushed by a certain segment. It's pure revisionist history.
SEGA went to fucking US FEDERAL COURT for the right to have violent M-rated video games to be allowed onto market. SEGA was the one selling game systems that looked like hifi stereo equipment ages before Sony. SEGA was the one marketing to an older MTV audience while Sony was making sound chips for the Super NES. Sports sim games as a major genre came first on the Genesis. Sega was making games like Virtua Fighter (3D fighter), Virtua Racing (3D racing). Sega and NEC were doing CD-ROM gaming ages before Sony, and yes the Sega CD played music CDs, big whoop.
If there was no Sega, Nintendo would have had a 99% monopoly on the game industry and there would be no Playstation in the first place as Sony's brass was already not keen on making a game console to begin with, with no blueprint to follow (under Sega) on how to compete, Sony would have never even bothered in the first place.
The NES was not only the birth of Mario, Zelda and Nintendo, but also where Squaresoft, Enix, Capcom, and Konami turned into global iconic brands with the Final Fantasy series, Dragon Quest, Megaman, Metal Gear, Contra, Castlevania, etc.
The NES more than doubled the sales of the previous best selling game console (Atari 2600), the Playstation did not do that to the NES either (way below doubling the NES) as well.
And in regards to your last sentence, if you take away Europe it's even closer between the NES and PS1. The NES sold 53.35M in N. American & Japan, compared to 59.63M for the PS1. Granted, the N64 was actual competition (well, in the U.S. at least for a little while) while the SMS was barely a blip on the radar in either America or Japan, but still. The only reason the PS1's global sales tally was way ahead of the NES's was because of Europe finally getting on board with consoles and choosing PlayStation as their platform of choice (obviously for the same reasons the PS1 succeeded everywhere else).
Literally the only things the PS1 did that was of any impact was being the first hugely successful console in Europe and being the first successful CD-based system. Anyone who argues the PS1 is the most important system ever is guilty of historical revisionism. In the 8-bit & 16-bit eras, the American and Japanese markets were doing just fine.