What are you comparing performance to? Were you seeing similarly poor performance with the older video card you just replaced? If so, then yes what you've posted, especially with results at low resolutions/low settings is a textbook case of CPU bottlenecking where a new video card isn't going to give you more FPS, it may just allow for higher AA or details/settings at the same unacceptably low FPS.
Here's a nice tool that shows how CPUs in that range are clearly the bottleneck in current titles to the point a faster CPU + slower GPU can actually result in higher FPS than a slower CPU + faster GPU. Your GPU is pretty close to a 4870 in this case, but you can see the extra 500MHz and larger L2 cache of the 6000+ results in a significant difference in performance over the 4800+.
Digit-Life CPU and GPU Comparison
Here's a bunch of results with various CPUs in newer games that also shows how much of an impact the CPU has in recent games with only a single fast GPU. Some of the games you listed are not only GPU intensive, but also incredibly CPU intensive, particularly Mass Effect.
GTA4 - 13 CPU round-up
COD4 + GRiD - Intel CPU Clock for Clock Comparison @ 2GHz
COD5 - 12 Intel and AMD CPUs
Far Cry 2 - various speeds
Left 4 Dead - various speeds
It looks like you ruled out PCIE bandwidth being the problem, and while its possible your PSU isn't up to the task, insufficient power will usually result in crashes or restarts rather than just poor performance. Unfortunately I don't think there's really a cheap fix to your problem, you can possibly start with the PSU but my guess is its time for a new platform+CPU to get the most out of that GTX 260.
Here's a nice tool that shows how CPUs in that range are clearly the bottleneck in current titles to the point a faster CPU + slower GPU can actually result in higher FPS than a slower CPU + faster GPU. Your GPU is pretty close to a 4870 in this case, but you can see the extra 500MHz and larger L2 cache of the 6000+ results in a significant difference in performance over the 4800+.
Digit-Life CPU and GPU Comparison
Here's a bunch of results with various CPUs in newer games that also shows how much of an impact the CPU has in recent games with only a single fast GPU. Some of the games you listed are not only GPU intensive, but also incredibly CPU intensive, particularly Mass Effect.
GTA4 - 13 CPU round-up
COD4 + GRiD - Intel CPU Clock for Clock Comparison @ 2GHz
COD5 - 12 Intel and AMD CPUs
Far Cry 2 - various speeds
Left 4 Dead - various speeds
It looks like you ruled out PCIE bandwidth being the problem, and while its possible your PSU isn't up to the task, insufficient power will usually result in crashes or restarts rather than just poor performance. Unfortunately I don't think there's really a cheap fix to your problem, you can possibly start with the PSU but my guess is its time for a new platform+CPU to get the most out of that GTX 260.