Lion Air (from JKT to SIN)
Air Asia (from JKT to BKK and from BKK to SZX)
Tiger Airways (from SIN to SZX)
Jet Star (from JKT or SIN to HKG)
Cebu Air Pacific (from JKT to SIN and from SIN to HKG), not the best of all.
Bear in mind that these companies are low cost, with limited bagage facilities freely allowed (usually 15kg) and tough cancellation or modicication conditions.
Good luck to find something suitable to your needs.