Submerged combustion systems and methods of use to produce glass. One system includes a submerged combustion melter having a roof, a floor, a wall structure connecting the roof and floor, and an outlet, the melter producing an initial foamy molten glass. One or more non-submerged auxiliary burners are positioned in the roof and/or wall structure and configured to deliver combustion products to impact at least a portion of the bubbles with sufficient force and/or heat to burst at least some of the bubbles and form a reduced foam molten glass.