I take Mylan brand levothyroxine. Some times people don't do well with a certain brand, but what matters is that you find one that works for you and stick with it. If you change manufacturers, follow up with a blood test, since when things are measured in micrograms, the teeny differences in active ingredients between manufacturers can be enough to make you need a different strength. A lot of physicians will write brand name Synthroid as medically necessary to avoid these problems.
I work in a hospital pharmacy, and we carry 4 different brands of levothyroxine, all strengths, plus the alternatives, and they try to keep the patient on the brand/manufacturer they were already on, or use the meds they bring from home, as to not adversely affect their blood levels.
If you are nerdy like me and would like to read into this further, here is a good article from University of Illinois Pharmacy School:
I hope you have good luck settling into another brand. Usually at a singular retail pharmacy, they will only carry one brand of generic levothyroxine as to not cause mix ups, but they can order your preferred brand as well. That way you can keep all your medications safely filled at one place.