A combination of 1 & 2 are called DPDT (double pole double throw) switches. An equivalent name you can find especially for signal switches is 2x 2:1 (multiplexer). In relay language these would be called "Dual Form C" (Form C is a changer)
The third configuration is a bit special and afaik there is no specific name for it in the classic switch nomenclature. The 2x 2:1 Multiplexers may have a global enable function, which realizes Configuration 3. For other switches, if you look for DPDT or DP3T switches (double pole triple throw), you may find switches which either have an actual 3rd position that you can leave unwired. Sometimes the "3T" is also given to switches which have 2 ON positions and 1 OFF position, where neither position is connected to the common connections. Digikey allows searching specifically for on-off-on switches.