Bumrungrad International

Bumrungrad is one of the first hospitals to court international medical tourists and has gotten a fair amount of publicity for its efforts, including this video from the U.S. news show 60 Minutes which interviews a heart surgery and a cosmetic surgery patient:

A video from a former CNN correspondent who has used the hospital:

A news clip from Focus Asia:

Bumrungrad's medical procedures and specialities include:
Allergy Center
Breast Care Center
Children's Center
Dental Center
Diabetes Center
Diagnostic & Therapeutic Center
Dialysis Center
Digestive Disease Center
Ear, Nose & Throat Center
Emergency Center
Eye Center
Eye Laser Refraction Center
Fertility Center
Health Screening Center
Heart Center
Horizon Regional Cancer Center
Medical Clinics
Neurology Center
Orthopaedic Center
Plastic Surgery Center
Rehabilitation Center
Skin Center
Skin Laser Center
Sleep Disorders Center
Surgical Clinics
Women's Center

A list of procedures and their typical costs can be found:
Bumrungrad Real Cost Information