Need to know the year and what it is in.
It could be that the torque convertor is locked and not slipping which it should do as the normal operation
A problem in the fuel line could cause it to stall. On a stick shift, letting off the clutch too soon would cause the vehicle to stall.
Check your transmission fluid level and also if the gear chamber is not well greased then it will make them stick causing the vehicle to stall.
I'd start with the kickstand safety switch.
torque converter or solenoid problem most likely if it runs out of gear ok.
overheating it would. Or if it was stick not being in the right gear trying to find the system causing it would help, if the air intake or filter was so clogged it couldn't suck air it could stall, and low fuel pressure could also make it stall rather slowly. Bad electrical connections could cause a quicker stall.
This sounds like an idle problem. Does the service engine light come on before the engine stalls? If it does it should post a code. Knowing what that code is could lead to a more accurate assessment of the problem. Does the engine idle ok before you put the car in gear? Does the engine restart and idle ok after the stall? There are multiple possible causes for the stall. The IAC, idle air controller, could simply be dirty and not delivering enough air for the engine to run. If the MAF, mass air flow sensor, if faulty or dirty that might cause the engine to stall. If the Oxygen sensor is faulty that could cause a stall and generally poor running as well. It may be possible that if the TPS, throttle position sensor, is faulty that could cause the engine to stall at idle speed. If you have found out what the problem is I would be interested to know for future reference.
yes, if you are doing too few revs for the gear you are in then you will stall.
You need a tune-up
if you a putting in a bigger engine the you will need the gear box aswell
A vacuum leak is one possibility.