1.e4 e5 can go many different ways depending on white's second move.
For example:
2. Nf3 Nc6 3.Bb5 is the Ruy Lopez
while... 2.Nf3 Nc6 Bc4 is the Italian Game
or. 2.Nf3 Nc6 3.Nc3 is the Four Knights
so it just depends on white's second move on what opening is called what.
Go here to find out more about 1.e4 e5 
-Mark
It's to early to tell, the openings followed after 1.e4 e5 is usually classified as the open games though.
e4 is B00 (King Pawn)
e4 e5 is C20 (Open Game)
It is called King pawn game!
Everyone else gives a most specific answer, but this is what I would have said. It's a king's pawn game :)
As pointed out though it could turn into a dozen or more different openings from there though. Ruy, Italian, 4 knights, Petroff, KIA, Steinitz, King's gambit, Latvian gambit, Evan's gambit, Blackburn gambit, and the Damiano Defense. Heh, ok those last 2 aren't so good, but this isn't listing transpositions like into an English or KID or pirc... and variations within openings (like the Evan's gambit in the Italian game, if I can get away with that ;) would add tons more. That's why you have things like the ECO and game explorer for reference materials.
Is there a complete list that I can get my hand on?
Or even better something where i can enter the moves and it will tell me the opening.
Cheers Guys!
yep, free members doesn't get a decent depth though, you can register at 365chess and get a nice depth for free.
http://www.chess.com/explorer/
http://www.chessgames.com/perl/explorer
http://www.365chess.com/opening.php
The book "Modern Chess Openings" is an ultimate reference guide and possibly worth getting your hands on.
I call it the Kong Defence.
I call it the Kong Defence.
It's call the
"I'm only 7 years old, so I think it's clever to bump an 8 year old topic defense"
Uhh.... what about google?
When white opens with kings pawn opening and black defends with the symmetrical move of pawn to e5 what this defence called?
Cheers