this one is a lot less complicated you choose either DC or Marvel for the each of the following categories
1. Characters
2. Stories
3. Power (as in which companys has the more powerful characters)
4. media interpretations ( movies, tv etc)
Characters - It really depends on what characters you prefer. Personally, I'm more of a DC guy because my favorites are Aquaman, Superman, Batman, Dick Grayson, Wally West, etc. The only Marvel characters that I consider to be my favorites are Spider-Man, Hank Pym, and Deadpool. However, I can totally see where people enjoy the X-Men as their favorites or Iron Man, etc. I wouldn't call it a tie at all, it's just a preference.
Stories - This one goes to DC with stories such as Kingdom Come, Watchmen, the Dark Knight Returns, All Star Superman, etc. However, Marvel does have some strengths that DC doesn't have. I think that Marvel has done a better job at fleshing out the characters of Spider-Man, Iron Man, Captain America, etc. than DC has with Batman, Superman, Green Lantern, etc.
Power - This one goes to DC by far. With the massive amounts of supernatural entities such as the Spectre, Superboy Prime, the New Gods, Kryptonians/Daxamites, magicians such as Zatanna and Dr. Fate, Firestorm, the Flashes, etc. Who is Marvel's most powerful being? Squirrel Girl
Media Interpretations - While it would appear that Marvel has the edge at this one due to the fact that Marvel has more video games, movies, television shows, etc. out there, DC has this one in the bag as well.
If you take a look at video games, Batman: Arkham Asylum wipes the floor with anything that Marvel has put out. That said, there is also the dreaded Superman 64
Look at movies, sure Marvel has the first two Spider-Man movies, Iron Man, and X-2: X-Men United which were great, but DC has Superman: The Movie, the Dark Knight, Batman: Mask of the Phantasm, and Watchmen, which are masterpieces. And lets not forget Batman, Batman Returns, Superman II, and V for Vendetta, which were pretty damn good. However just like with the video games, some of the absolute worst have also come from DC with Batman & Robin, Catwoman, and Steel.
With Direct-To-Video movies, DC wipes the floor with Marvel on this one. The DC Universe Animated Original Movies line has been pretty damn good while with the Animated Marvel Features line....the only good ones have been Dr. Strange and the Hulk movies.
And television, DC takes this one by far thanks to the DC Animated Universe. No debate. Good night
. On a side note, DC also has a better history with television thanks to the Adam West Batman series, Lynda Carter's Wonder Woman, and Batman: The Brave and the Bold. I think that Marvel tends to accept mediocrity far too often with the television department.