Some good old arcade style games? Like Golden Axe, King of Dragons, Knights of the Round, Warriors of Fate and stuff like that? I suddenly missed the good old days and am itching to relive in the past, so any suggestion you can afford will be much appreciated. My knowledge is limited and i haven't played a big number of games in the past... Thanks in advance.

If you don't mind using an emulator, then you can't go wrong with TMNT IV : Turtles in Time. You can also check out the sequels:
Golden Axe 2
Golden Axe 3

Here on gog, Prehistorik has a delightful oldschool arcade feel.

edit: Perhaps Castlevania: Bloodlines. Not sure how arcade-like it is, but it is the only castlevania game I've ever finished - madly difficult though :P

Btw, if you can get MAME running, then you can check out some genuine arcade games as well

The only one I played is Teenage Mutant Ninja Turtles. This one specifically because there are dozens of games with this title, not all of them arcade style:
http://www.mobygames.com/game/dos/teenage-mutant-ninja-turtles__/screenshots

And I do recommend it. Not sure if you can find it anywhere though.

Space Invaders, and Pacman

If you like beat-em-ups, you can't go wrong with The Simpsons Arcade Game.

Meh! I say. It's certainly fun for a Simpson's fan, but honestly it doesn't hold up. The entire game is a single button spam fest, ultimately the same problem that plagues Xman. I too was sad to find my childhood memories were quite rose tinted.

The pair of Dungeons & Dragons arcade beat em ups (Tower of Doom and Shadows over Mystara) however are quite a blast. The second one even supports six players just like an Xman DX cab. If you like Knights of the Round these are the infinitely superior games that were aped.

I really enjoyed the arcade version of Joe & Mac. It looks great (lightyears ahead of the console ports) and fits somewhere in between a platformer and beat-em-up. It's especially good with 2 players!

If shoot-em-ups are your thing, you could take a look at Crimzon Clover. Be aware that that game is not exactly easy.

Edit: The game isn't that old, however.

Streets of Rage (series) => Streets of Rage 2 is highly recommended.

If you like Beat 'em up games, I can recommend more titles (both arcade and console).

 ▪  <span class="bold">Realms of Chaos</span>    ( On GOG  ⁞  Gameplay )
 ▪  <span class="bold">Streets of Rage Remake</span>    ( Free download  ⁞  Gameplay )

If you're looking for some fun run and gun arcade games, check out the Metal Slug series.

That too. For some reason I like Metal Slug X the best, considering music, action etc.

If you can get your claws onto it, I recommend Wild Guns. It is a shooting gallery game that has a cyber-western anime aesthetic, and features a defense mechanic where you can shoot down incoming bullets to gain access to a vulcan cannon. Each stage is destructible, and the game has two-player mode.

A damn fine game.
You might enjoy the PC version of Hamsterball.

Hamsterball

A few other good ones...
Galaga and Galaga 88
Final Fight
Smash-Tv

And of course the very cool After Burner arcade combat cockpit! Love playing that as a kid. After Burner is emulated, the cockpit not so much.

After Burner Deluxe Video Tour
https://www.youtube.com/watch?v=SOYF6736jrM