My 2004 c5 corvette stalls when placed in drive gear.

With key off unplug the mass air flow sensor and try to start the vehicle. If it starts and runs fine, try cleaning it with mass air sensor cleaner, and plugging it back in. If cleaning doesn't solve the problem it may need replaced.

When you press on the gas when the truck is running, does it rev up?

Did it die while driving down the road (foot on the accelerator) or when idle? - If so, try cranking it and get your RPMs up to 1500-2000 RPMs and put it in drive (with your other foot on the brake). See if it will continue running if you never take your foot off the gas.

TRY CHANGING FUEL FILTER,COULD BE CLOGGED FUEL FILTER,FUEL PUMP FAILING,FUEL COULD BE CONTAMINATED WITH WATER.IF FUEL SYSTEM OKAY,CHECK FOR SPARK AT SPARK PLUGS,COULD BE FAULTY IGNITION MODULE OR FAULTY IDLE AIR CONTROL VALVE I WOULD HAVE VECHICLE CODE SCAN FIRST BEFORE SPENDING MONEY.

The TCC solenoid in the transmission needs to be replaced. It is under the side cover. It controls the converter to lock up for better fuel mileage. If you want to drive car until you get it fixed you can un-plug the connector going to the transmission on the front of transmission. This will keep it from going to lock up mode and keep it from stalling until you can fix it. Common problem.

My first guess would be the fuel pump. Alot of defective pumps will operate until they warm up.

if there is a brain box on firewall there is a white ballast resistor next to it that has quit working replace ballast resistor.

if iwere you i would have the fuel pump changed. sometimes the S.O.B. will work and other times it wont when its bad

Check the ignition module. My car would run fine until it came up to full temp and then run bad. I continued driving the car while trying to diagnose the problem. It got worse and then one day the car stalled as if it ran out of gas (still had plenty in the tank). I was able to coast it into a parking spot and called for a ride. Upon returning, I tried to start it, started right up and ran fine. On the way home it started acting up again (once it was up to temp). It turned out to be the ignition module.

Have you checked the fuel pressure from the pump?

Check fuel pressure. Pump may have crapped out. If pressure is good, clean and rebuild carb.