Mozaic Beach Club, Breeze at the Samaya.
I second La Lucciola go for breakfast it's Fantastic!
Along the beach front from Seminyak through Legian - Chez Gado Gado (fine dining) also recommend ABC (bean bags in the sand at the end of double 6) Tekor, Lanai, Ristorante Italia, Seaside, Hitani, Mozerella by the Sea. I've eaten at all of these and enjoyed each one. Great variety of food, good prices and all facing the beach. Great sunsets.
Chez Gado Gado is on the beach in Seminyak and I highly recommend it. It cosy my wife and I $160.00aus including drinks which is expensive in bali but it was a fantastic dining experience and we will return again.
La Lucciola is not to be missed and Mozaic Beach Club is fantastic too.
Mozaic is my tip. They have a bar over looking the bar with some amzing food & drinks but there is also a fine ding restaurant that looked amazing. Probably very $$$ but I'd say it would be an amazing experience. I don't think you could go wrong with La Licciola or Gado Gado.
If you want a bit more casual maybe Echo Beach or Jimbaron Bay???
To add the recommendation above: La Lucciola and Cocoon Beach Club. :)