High-End Restaurants with Vegeterian & non vegeterian options

I am looking for restaurants with both vegeterian for my girlfriend option(s) and non vegeterian option(s) that include fish, sea food and optionally meat.

I'm looking for anything in the range of 2000-7000 Yen per person, and we're both looking for an authentic Japanese experience.

Preferably restaurants in Kyoto, but I'd be glad to hear about options in Osaka and Nara.

Thanks for all helpers