The Café (closed Sunday), between Avarua Harbor and T. J.'s Nightclub, is a spacious locale serving lunch, plus coffee and cakes all day.
The Blue Note Café (daily), on the Banana Court verandah, has the best coffee in town. It's a good choice for lunch and there's a stack of New Zealand newspapers on the counter for free reading. Check out the adjacent art gallery.
The café (closed Saturday to Monday) at Mairenui Botanical Garden, opposite the Little Polynesian at Titikaveka, serves a nice lunch.
Fruits of Rarotonga (weekdays only), by the road in the southeast corner of the island, sells a variety of jams, chutneys, pickles, sauces, and dried fruits made on the premises. It's a fine place to stop for coffee and muffins on your way around the island, and you can snorkel right off their beach.
Several of the hotels prepare a special Sunday barbecue dinner or "roast" open to everyone. The favorite of those in the know takes place at 1830 at Castaway Beach Villas, a bit south of the church in Arorangi (reservations required).
At the main hotels, there are Sunday barbecues at the Sunset Resort at 1800, the Edgewater Resort at 1830, the Paupau Patch Restaurant at the Moana Sands Beachfront Hotel at 1800, and at Club Raro at 1800.
The Point Restaurant at the Muri Beach Club Hotel has a Wednesday night roast and a Sunday buffet grill. Both events start at 1800 and children under 18 are not admitted (reservations required).
Call ahead to check times, prices, transportation arrangements, and bookings. Other possibilities may be advertised in the local paper.