A Tiger Fight is a Bear Fight with the shots switched. You place the Jager in the Guinness and the Baileys/Jameson in the Red Bull and take them back to back. You thought a Bear Fight was bad, but the Siberian and Bengal really rip your insides apart.
Chris offered to buy me a Bear Fight in an attempt to impress me with his badass drinking ability. I laughed condescendingly and offered to buy him a Tiger Fight instead.