We've only been here 2 months and I agree with a lot of what Jock had to say. In Split there is a restaurant I go as often as I can afford it. Perivoj near the main law courts and a short walk from the palace. It is creative and the desserts are not pancakes (although they may be on the menu) but many traditional desserts with modern twists. Marko, the chef, changes the menu to make room for what is in season. The place is beautiful, too. My birthday lunch was a glass of Croatian prosecco, my husband had a beer, we shared the octopus appetizer, a seasonal salad and he had the risotto in squid ink that was the best I've tasted anywhere, and I had a 250 gm rib eye steak, a bottle of sparkling water to share, a gluten free chocolate cake and almond and lemon ice cream with my coffee. It was 500 kuna with a tip. Worth every penny.
Bokeria is very good with exceptional desserts but it is a little pricey.
We had Chinese food that was reasonable and very good just a short way from the palace, too. It has a nice view since it is at the top of a building.
There is a new Mexican restaurant that just opened. The owner is from Honduras so I'm sure it will be very good, too. We are going tomorrow. She also owns Te Jo Te cafe very near the palace.
There is Fabrique by the F Group that is very good and middle range for prices. They have good choices with an American leaning menu. We didn't try any desserts. The restaurant is beautiful inside.
My grandparents were from Croatia so I love the traditional foods even if I'm only trying them for the first time here. The produce is fresh and full of flavor unlike other places I have lived, Canada, USA, Ecuador, China, I know that the food is pretty healthy. The strawberries taste like strawberries, for instance.