Many of these you will go "oh, I know that song!". I tried to pick what I would think would be good "fighting" songs (and yes I am partial to Tchaikovsky).
Tchaikovsky: 1812 Oveture(one of the all time greats), Piano Concerto no. 1, Marche Slave (prob. my fav. to play on the piano), Trepak (Russian Dance), The Nutcracker March, Francesca da Rimini, Romeo And Juliet - Fantasy Overture (finale is awesome)
Brahms: Hungarian Dance no. 5 (love this)
Verdi: Anvil Chorus (love this as well)
Rossini: The Barber of Seville Overture (about 2min in you'll be thinkin of Bugs Bunny and Elmer Fudd)
Suppe: Light Cavalry Overture (now THIS is fighting music)
Mozart: Dies Irae (Day of wrath! O day of mourning! See fulfilled the prophets' warning, Heaven and earth in ashes burning!)
Copland: Fanfare for the Common Man (o' the Trumpets and Tipany! Love It)
Arnaud: Bugler's Dream (Just majestic! You'll know it as the Olympic theme and sadly most only get to hear the 1st min-2)
Denaz: Funiculi, Funicula (Suddenly i'm hungry for pasta...)
Mozart: The marriage of Figaro Overture (simply one of the best pieces of music ever written)
Boccherini: Minuet (something a bit more "mellow")
Veracini - Ouverture No. 6 (not well known, but good none the less)
Mussorgsky: Night on Bald Mountain (you'll love this)
Jenkins: Palladio (a jewelry commercial almost ruined this for me, but it's perfect for what you want)
Sousa: The Liberty Bell, The Washington March (Stars and Stripes Forever, I could go on...)
Fucik: Entrance of the Gladiators (ok, it will make you think about clowns and elephants)
Ravel: Bolero (relentless. another you will like)
Grieg: In the Hall of the Mountain King (make sure to listen to the last 1/3)
Beetohoven: Ode to Joy (heck, all of Symphony No.9 really...)
Khachaturian: Sabre Dance (one of my favorites to play)
Bizet: Les Toreadors (you'll recog. this one for sure. toreadora... don't spit on the floora...)
Orff: O Fortuna (mind bendingly AWESOME! If you pick ANY one song to listen to, pick this)
Bach: Toccata And Fugue (prob. a few others that were in Disneys "Fantasia" that I am forgetting)
Give these a try. Let me know if any of 'em were what you were looking for.