Tried out Luhtu's for breakfast this morning with some girlfriends. They offer a nice breakfast : American (30,000rp), Continental (22,000 rp) and Indonesian (22,000 rp ) which includes a fruit platter, orange juice and coffee/tea.
They also have loads of other things on their menu and they have some delectable cakes on offer too.
They seem to be the cheapest on the beach for brekkie, so give it a go if you're ever in the area. Bon appetit!