I feel like DmC: Devil May Cry definitive edition (PS4) is a great place for a beginner to jump into that series. Then there is the HD collection coming soon too.
Definitive action game list:
Devil May Cry series:
A bunch of HD collections and Special editions have been released for the game so it's hard for new people to figure out which to get and play.
For DMC1 and DMC3 you can either play them on PS3/360 on the HD Collection or wait for the PS4/Steam/XB1 release coming early next year. That will probably be the definitive versions of those games especially on PC because DMC1 and 2 have never been on PC and 3 has a bad PC port.
DMC4 you play on current gen consoles or PC which is the Special Edition. For DmC you play the Definitive edition on current gen consoles, PC didn't get that version unfortunately.
Skip DMC2.
Ninja Gaiden
Ninja Gaiden Black is the best on original Xbox, probably need to get it through BC now.
Ninja Gaiden 2 or Sigma both are great, I prefer original but it's rougher around the edges. 360 or BC, however you can manage it. No PC versions for the NG games unfortunately.
Skip NG3 and NG Yaiba.
Bayonetta
Bayo 1/2, 2 is only on Wii U but will be on Switch. Don't play PS3 version of Bayonetta, it sucks. Probably should invest in a Switch soon for Bayo 3.
Nioh
Complete edition on Ps4 or PC. This is somewhere between a Souls game and an action game. If you liked the more methodical aspects of the game and the RPG stuff then move on to the next game on the list.
Bloodborne
Old Hunters edition on PS4. Faster and more menacing than a Souls game but slower more methodical than Nioh. Stunning stuff here but this is going a bit outside of the spectrum. If you like this game then move on to the Souls games proper.
PS2/Xbox era action games that are underrated/unknown (acquire anyway possible)
Viewtiful Joe 1/2
Godhand
Zone of the Enders 2
God of War 1-2
Prince of Persia 1-3
Onimusha 1-4
Chaos Legion (interesting summoning system but otherwise mediocre)
Bujingai
Otogi 1/2 (Xbox)
Shinobi
PS3/360 era
Metal Gear Rising
Darksiders 1-2
God of War 3 (PS3/PS4)
Transformers by Platinum games
PC:
Bayonetta
Devil May Cry 4SE
Devil May Cry HD Collection
Darksiders 2
Dragon's Dogma: Dark Arisen
PS4:
DmC: Definitive Edition
Nioh
Metal Gear Rising comments will lead you astray and into the field of mediocrity and style over genuine mehanical substance
Vanquish is also bad, like really bad please don't be fooled
These are your opinions. The majority of people who have played MGR and Vanquish have a very positive opinion of them.
I sleep just fine regardless of what other opinions are. In this case your opinion is wrong, and I'm simply pointing it out.
Metal Gear Rising comments will lead you astray and into the field of mediocrity and style over genuine mehanical substance