NEITHER. Your display is pretty crappy low end and you can get any number of 1080p LCDs at a PawnShop for like $45, which would provide better quality AND performance (some games actually perform WORSE at lower resolutions).
Both cards are LOW END ENTRY LEVEL cards and are NOT made for high end gaming, even at low resolution. You could simply look up the BENCHMARKS for Unity or FC4 and 740ti/R7 265 for yourself to see you can NOT MAX OUT GAMES.
You would need to invest in a better card, BUT that won't matter if your running a low end CPU, on a slow HDD (5400RPM) and only 4GB of old RAM (DDR2). If you want that "max out" and don't have the cash, then get a console. Surprisingly a cheap console (as compared to the HIGH COST of PC parts) can play many titles LIKE you want it to perform (even better, PS4 can play 1080P on High at 60FPS on many titles
http://www.ign.com/wikis/xbox-one/PS4_vs._Xbox_One_Native_Resolutions_and_Framerates