This is a little list of a few flight schools that have good connections with airlines. Click on the location for more information!
OSM Aviation Academy – OSM Aviation Academy Website
North America: Fort Lauderdale, United States
CAE Airline Pilot Training – CAE Airline Pilot Training Website
Middle East: Dammam, Saudi Arabia
Asia: Gondia, India
North America: Phoenix, United States
FTE Jerez – FTE Jerez Airline Schemes Website
Europe: Jerez, Spain
L3 Commercial Aviation Airline Academy
Oceania: Hamilton, New Zealand
Note: I have listed these schools as I know many pilots in airlines that attended these schools. I have heard and read very good reviews of the schools listed, but I personally have no experience with any of the above schools. As always, do your research and be aware of the conditions and requirements before signing any contract.