i have used three different relaxers and achieved similar results. I think it is important to consider the texture of your hair and the type of results that you are trying to achieve.
My hair is fine-medium, and relaxes quickly so I always stay with Mild formulas. the total time that the relaxer is on my head is usually 15 minutes. Because I am deathly afraid of overprocessing my hair.
Last night I texlaxed with Hawaiian Silky Mild(lithium hydroxide). I added 1 capful of coconut oil, 1/2 a capful of Silk amino acid, 1 tablespoon of Joico conditioner(keratin protein). My total application time was 15 minutes. My hair came out pretty straight but with lots of body. Pretty much exactly what I was looking for.
Before that I used Mizani no lye with 1 teaspoon of coconut oil and a capful of Silk amino acid. Mizani is very gentle and washes out easily, and leaves your hair very soft and conditioned. I would use again. Perfect for texturizing. I got nice corkscrew curls.
Before that I used African Pride with jojoba and olive oils (no lye). I mixed 1 tblspn of conditioner, 1 tsp coconut oil, 1 tsp olive oil, 1 capful SAA. I added too much stuff, b/c my hair barely relaxed at all.