English: Turtle Bay Beach at Caneel Bay.

Turtle Bay Beach at Caneel Bay. (Photo credit: Wikipedia)

One and the other – only two options:
There were just two candidates for the job; one was almost perfect, but the other one was just a bit more experienced.

One and another – more than two options:
There were five holiday possibilities which attracted us. One was a week lying on a beach in Greece, another was a cultural trip around ancient historical sites, two others were city breaks in the United States and the last one was a trip on the Orient Express.

Other examples:
I like this shirt, but do you have it in another colour?
I like this one, but the other one we saw earlier was better.
That was an excellent proposal, but another option has just occurred to me.

It’s fifteen minutes before the train goes, we have time for another beer.