There are several types of laser eye surgery; The most common are listed below:
a) Laser Photocoagulation for Retinal Treatment
b) Yag Laser Capsulotomy for After Cataract treatment
c) Laser Treatment for Glaucoma
d) Laser Vision Correction
LASIK is a type of Laser Vision Correction Surgery. Obviously a) through c) are not alternatives for LASIK. So I suppose that was not really your question.
There are different types of laser vision correction surgery. One is LASIK, the other is PRK, a third (similar to PRK) is LASEK or Epi-LASIK. While this is confusing, LASIK is the most popular, and over 90% of all laser vision correction surgery is LASIK. PRK and Epi-LASIK have more post-operative pain, and a longer visual recovery. Generally, they should be done when the cornea is thin, or there is some surface corneal disorder. Otherwise, LASIK is perhaps the best alternative.