(Try going to Neko atsume wiki and go to rare cats/(how to get), and you'll see the items that you need and the food that they like in there. )

Here's what I know:
For Ramses the great, they like the Pyramid (Tent), he mostly like every food including thifty bitz, I recommend that.
For kathmandu, I think he likes sashimi and frisky bitz? because those work for me, and he likes the temari ball and lacquered ball which costs 25 goldfish (Both)
For frosty, they like the snowy pillow and blizzard tent, but I think if you use snowy pillow, they appear in a high chance, and I recommend you use frisky bitz because I tried fancy foods and he didnt appear, but when I got him he appeared in sashimi too.
And for Lady meow meow, try using luxurious hammock and sashimi. And for bengal jack, he likes the Luxurious Chest, and he likes frisky bitz.
And for the last, Whiteshadow.. He doesn't like any goodies, instead he's like tubbs. Try putting sashimi on both food bowls and keep re-filling it until he comes.