UAL has a deal with Lufthansa:
U get your CFI, and then apply to the LH flight school in AZ. U fly as Instructor there, until you get your atp mins, then go directly to UAL narrow body fleet, bypassing the regionals.

Many of the regionals/majors (AA does this) have a program where you are put into the system somewhere in flight school, then go to Envoy/PSA/Piedmont, then flow to AA, so you are essentially hired by AA while in flight school. I don't know any of the details of these programs, but they've been posted on these boards...

Namaste...