You have the rule backwards. If there are only two things, then you have one and "the other." If you have more than two things, use "another" or "others."
I have two dogs. One is named Marci and the other is named Peppermint Patty.
I have four cats. One is named Morris, another is Sebastian, and the third is Chloe.
There are many nice places to stay here. There's the Ship Inn, and others include Mable's B&B, the Pilot House, and even the local Holiday Inn here is very nice.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.