Jeanette- Definitely dated, but with the nickname Jette, it can be a nice (yet still fashionable) way to honor your relatives.
Juliette- Romantic and sweet, with a hint of princess.
Georgette- She's not quite ready for a comeback, but I have a feeling Georgette could be rather cute if called Georgie or Jette.
Jetta- I talked about Jetta in last weeks post about J names for girls. She's the most straightforward way to get to Jette, but doesn't need to be shortened.
Josette- She lends herself to Josie, but if you want something a little more rough-and-tumble, Jette is your girl.
Junette- If you're desperate for a name that honors Grandma June and has a nickname like Jette, I say go for it. Otherwise, there are better choices on this list.