Yeah, London Dry is just the name for the style of gin. The only other style I'm aware of (I'm sure there are more) is Plymouth. Now, there is only one distiller of Plymouth gin. Plymouth is usually my go to. It's less juniper-centric but there is still juniper in it. Fun fact: London Dry can be made anywhere but Plymouth has to be made in Plymouth, England.

I mean, technically I think gin is just a neutral spirit (i.e., vodka) with botanicals. There's no reason you can't have a cucumber-flavored gin. It's just not what people think of when they think gin, usually.