Alumimum is commonly found in most (all?) anti-perspirants. It's definitely not something limited to Old Spice. If you want to avoid aluminum, you'll probably have to stick to using deodorants that are not also anti-perspirants -- it might be the case that Old Spice doesn't sell anything like this.
Old Spice definitely does sell deodorant and it doesn't have aluminum. Here are the ingredients on the back of mine (Pure Sport High Endurance - which seems to work for me):
Dipropylene Glycol, Water, Propylene Glycol, Sodium Stearate, Fragrance, Ppg-3 Myristyl Ether, Triclosan, Tetrasodium Edta, Sodium Hydroxide, D&c Violet No. 2, D&c Green No. 6.