Will Fifa Football 2005 work on a 360?

If this is an original xbox game then no,it's not backwards compatible.

A full list of original xbox games that are backwards compatible on the 360 can be found here

support.xbox.com/.../play-original-games

Hello, BlindMatrix

I Would Very Much Like To Help You Out Dear Chap!.

Please Remove Any "USB Flash Drives" From Your Console & Then Please Head Your Way To Your "Xbox Dashboard" And Go To Your "Settings" And Select "System" Then Select "Storage" And Then Press (Y) Device Options On Your Xbox 360 Hard Drive, Select "Clear System
Cache" When Done, Start Up Your Game & That Should Remove All The Latest Updates From Your Games And Reintegrate Them Back Into Your Hard Drive & You Will Have To Download The Update Again My Dear Chap!. Hope This Helps!

Shouldn't you be asking EA to do it?

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On Xbox 360 you already have:

1) FIFA Street (2012)

2) Pure Football (2010)

3) FIFA Street 3 (2008)

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On the Original Xbox:

1) FIFA Street (2005)

2) FIFA Street 2 (2006)

3) Urban Freestyle Soccer (2004)

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Your best bet is to go with FIFA Street released in 2012 since that's the most refined street football game to date.

There hadn't been a decent Pes since 2005 back then the game was better then FIFA hands down even with out the licensing. Now Konami just don't seem to understand that the game they keep putting out is awful and now where near a football sim like FIFA

You can't. The last FIFA football game for the 360 was FIFA 19.