There are certainly alternatives to tetracycline antibiotics fro acne- It sounds like you get good results from it- almost any alternative you look at may similarly help you while you take it, but acne will return when you stop- That is the nature of acne- some people seem to "grow out of it" with age, but some do need long term medical therapy. And there is quite good safety data from people who take tetracyclines long term - with the exception of pregnancy I would not be very worried about continuing tetracycline as long as you wanted.
Other alternatives to tetracycline may include:
topical benzoyl peroxide, salicylic acid, topical retinoids,
Isotrentinoin ( Accutane), other different antibiotics like minocycline or erythromycin, spirolonolactone, or oral contraceptives.
If you have a more specific question please ask. The below link is a pretty good reference site.
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