Another jewish restaurant is Mazel Tov. It is situated into a coutryard which is decorated with lights and plants. It is covered with a roof but in summer the space is open air. The menu is full of delicious food like stuffed pita sendwiches, salads, hummus and meet. The atmosphere is really nice especially in evenings.
My favourite café so far is the Café Konyha (which means kitchen in hungarian). They have the best coffee and also nice desserts. It is located close to the Király street in a district with another cafés, little art galleries and fashion shops. You can sit outside at Konyha or choose a cozy place in the upper floor.