What birth control pills can get rid of periods completely?

No guarantees: Many options will make it more likely not to have bleeding, but most take time to work, and aren't guaranteed--often have irregular unpredictable bleeding for awhile: extended cycle birth control pills --40-60% no bleeding after a year, the shot--depo provera--50% no periods after a year; the hormone iid--20-60% no periods after a year.