thebum06: It depends on what you want to do with it. If you're going to focus mainly on older games or indies, the 750ti will probably be the best option because of Shadowplay and the lower power consumption.
If you plan on playing newer and more graphically intensive games, the r9 270 is probably the best option. The r7 265 is in a weird spot where it costs almost the same as the r9 270 (I think the difference is ~$20) yet performs significantly worse.
Foxhack: And that's why I was thinking of the r9 270. It's only a little bit more money, so why not go for that one?
My CPU and video card are just too old already. I'm having trouble running
Escape Goat 2...
I would definitely go for the R9 270 if you have the money. It is simply the faster card on the paper with broader memory bandwidth and more raw power. If energy consumption is important for you, the NVIDIA card will certainly be the winner though.
I somehow doubt that PhysX will benefit much from the NVIDIA GTX 750 Ti because the performance may not be all that good. I have the feeling you would need an additional PhysX card on top because the 750Ti needs all its power to put stuff on the screen rather than spending calculation time for PhysX. I have no experiences with this though, so I might be wrong. Anyway I would not count too much on PhysX with this card. In the worst case you will have to chose whether you run a game with PhysX effects turned on and reduced graphic effects or with high graphic details and PhysX turned off. I don't know, but it seems a gamble for me.
On the other hand AMD will support Mantle for some games which might have a bigger benefit performance-wise than having PhysX, especially on low and mid-range systems.
Shadowplay seems from what I read so far a gimmick that uses GPU performance to compress the video stream and record it. Basically what Fraps does, but using the hardware codec of the GPU. It seems to show that the performance with Fraps is better, although the videos get bigger because of less compression. It seems to me that Shadowplay is not a must-have feature.
I might be biased favouring AMD here because I am still running a Gigabyte Radeon HD5870 with 2GB RAM which still works pretty well on most stuff. Might need a better card when Witcher 3 is released, but until then ... best card I ever had so far, for only a lousy bunch of 150 Euros back in the days I bought it, thanks to the new generation of the HD6-series being released. Never had severe driver problems or compatibility problems with AMD. Coincidentally the last time I hade those where on a GeForce 6 card. My next card was an HD3870 which was OK, but destroyed itself with heat problems. Last time I bought an ASUS card! I can recommend GIGBYTE as a vendor all the way.