There is an excellent noodle shop directly across from the JR Uji station. Look for the flashing light in front It is both cheap and tasty. Try the "champon".
Rengecha-yo
Is near the front gate of byodo-in, near the end of renge, uji's main shopping street. no english is spoken by the staff, but english menus are available. despite having two floors, it gets crowded in the early afternoon; as a result, the wait can be a bit long, but the food is excellent. expect to pay ¥700 for a bowl of noodles with some tempura, ¥1500 for a filling set with a variety of noodles and tempura, and ¥3400 for a seafood blowout set.
Local specialties centre around green tea naturally and Kyoto cuisine. Some of what you'll find in town:
Cha-soba made by mixing green tea with regular soba noodles. There are also cha-udon restaurants.
Green-tea flavoured ice cream, including the ubiquitous soft-serve cones.
Green-tea flavoured dango, often served as the sweet included with matcha service.
Kyoto cuisine, including yuba, kaiseki-ryori, etc.
Places to eat:
A map of restaurants and shops can be obtained from the tourism information centre near Byodo-in.