Battle of Azanulbizar was the only one where nobody fought on the same side as someone from another race:
Pelennor - Orcs and men/Men, elf and dwarf
Helm's Deep - Men, dwarf and elf
Bragollach - Men and elves/Dragons, balrogs, orcs etc.
Fall of Gondolin - Orcs, dragons, balrogs...
Azanulbizar - Dwarves vs orcs. Plain and simple!