I'd say Konami by a small margin, but they're both great.

Maybe add Vandal Hears to Konami but it is a good list without a doubt.

Because I'm bored, here are each company's NES games

Capcom:

1942
1943: The Battle of Midway
Adventures in the Magic Kingdom
Bionic Commando
Capcom's Gold Medal Challenge '92
Chip 'n Dale: Rescue Rangers
Chip 'n Dale: Rescue Rangers 2
Code Name: Viper
Commando
Darkwing Duck
Destiny of an Emperor
DuckTales
DuckTales 2
G.I. Joe: The Atlantis Factor
Gargoyle's Quest II
Ghosts 'n Goblins
Gun.Smoke
Legendary Wings
Little Mermaid, The, Disney's
Little Nemo: The Dream Master
Mega Man
Mega Man 2
Mega Man 3
Mega Man 4
Mega Man 5
Mega Man 6 (published by Nintendo in North America)
Mickey Mousecapade
Mighty Final Fight
Section Z
Street Fighter 2010: The Final Fight
Strider
TaleSpin
Trojan
Willow
Yo! Noid

Konami/Ultra

Adventures of Bayou Billy
Base Wars
Blades of Steel
Bucky O'Hare
Castlevania
Castlevania II - Simon's Quest
Castlevania III - Dracula's Curse
Contra
Contra Force
Defender of the Crown
Double Dribble
Goonies II, The
Gradius
Gyruss
Jack Nicklaus' Greatest 18 Holes of Major Championship Golf
Jackal
Kings of the Beach Professional Beach Volleyball
King's Quest V
Laser Invasion
Life Force
Lone Ranger, The
Metal Gear
Mission: Impossible
Monster in My Pocket
NASCAR Challenge, Bill Elliot's
Nightshade
Pirates!
Q*Bert
Rollergames
Rush'n Attack
Silent Service
Skate or Die
Ski or Die
Snake's Revenge
Star Trek 25th Anniversary
Stinger
Super C
Teenage Mutant Ninja Turtles
Teenage Mutant Ninja Turtles - Tournament Fighters
Teenage Mutant Ninja Turtles II - The Arcade Game
Teenage Mutant Ninja Turtles III - The Manhattan Project
Tiny Toon Adventures
Tiny Toon Adventures 2 - Trouble in Wackyland
Tiny Toon Adventures Cartoon Workshop
Top Gun
Top Gun - The Second Mission
Track & Field
Track & Field II
Where in Time Is Carmen Sandiego?
Zen - Intergalactic Ninja

So difficult, if I had to have one or the other it would need to be Capcom.
 

It's a tight race, but classic Konami wins.

Capcom for Resident Evil (part 1 is my all time fav) and Street Fighter! (loooooove my street fightssss). Also for Rival Schools/Project Justice, Mega Man X4, D.M.C, list goes on...

Classic Konami for me. Current Konami is awful though and I'm trying to keep its awfulness from tainting my beloved memories.

Capcom is really solid though. My choice is all personal preference (mixed with the fact that I suck at all mega man games, even soccer.)

I had to think about that one. then I remembered Parodius. Konami Wins! Although capcom is very close.

Aren't they all personal preference? And I am glad to know I'm not the only one who completely blows at the Mega Man games.
 

This is a really tough choice but if we are looking at their entire library I have to go with capcom. Classics like disney nes games, mega man, resident evil, street fighter.

I still remember going to play street fighter II when I should have been in class lol. Some things never change I am on NA when I should be working .

Bill Elliott A.K.A. Awesome Bill from Dawesonville A.K.A. Million Dollar Bill is my favorite race car driver of all time.

Dale Earnhardt was a damn cheater and a dirty driver!

I'm switching sides. Konami showing love for NASCAR. I'll show some love to Konami.

Probably, I just want to come of as making any kind of blunt statement.

Dude, Mega Man, especially NES/SNES Mega Man is impossible. All you people who beat those games amaze me.

 

Mega Man 1-4 and Castlevania 1 & III... I love those games so dearly and they are too much fun but I suck so hard at those it's not even funny. It's so unfunny, in fact, that I don't even have a joke for how unfunny it is. Now that is not funny.
 

Too close to call they both had their up's and down's. Seeing as how they are both dead in the water now I think we can agree that they both created some amazing franchises.

Konami:

-Better Shmups
-Better Stories
-Better Run n' Gun's

Capcom:
-Better Fighters
-Better RPG's
-Better Action Adventure's

Both:
-Great Survival Horror's
-Great Beat'em Up's

I used to think Mega Man games were impossible until I beat the original Mega Man about 10-12 years ago. Since then I've worked my way up from 2 through 5 and still haven't beat 6,7,8 or 10. I did 9 when it came out because I loved it so much I couldn't stop playing. But like most games of the NES era, it's all about recognizing the patterns, Once you get that down you're good. If I play a stage X amount of times I'm bound to get it down eventually. But they definitely are tough games, but not as impossible as I once made them out to be. Contra though, those games are impossible!

The one with the better Fighters.

No way dude, it's all about the beat 'em ups! Although I think Capcom still wins in either instance...
 

Konami

Both of these companies are complete and utter garbage these days. However if you're talking about them back in their prime, I would give the slight edge to Capcom because the arcade game Street Fighter II: The World Warrior is the most impressive video game I've ever played in my life.

Even moreso than Dangerous Dave? Get outta Dodge.
 

Capcom, gotta love goof troop and magical quest

......Is it?

Street Fighter II changed arcades forever. Capcom for me.

For the NES, Konami. But overall, Capcom.