Another 5 years for a currently more than 5 years PC is pretty much impossible, both in terms of technology obsoletion and durability. Nowadays even an entry level office PC at RM1k++ can be more powerful and features packed than your PC.

The CPU and mobo platform had being long EOLed. You gonna swap out them all together. Also, the RAM too. If you want to "upgrade", it is pretty much a total overhaul already.

The only possible "upgrade" to current system I will recommend is a SSD. Since your mobo is SATA2, the speed gonna get capped, just get whatever cheapest with longest warranty one will do.

If you want to get a new system, you can potentially reuse back the HDD, DVD ROM and the case. The PSU also possible to be reused if it isn't too dated, but do check if it has Haswell compatibility first. Cooler is potentially reusable too, but you need to find the adapter mountings for it, which can be a real challenging work most of the time.

In short, give us your maximum budget willing to spend for a new PC and we try to work out something from there.

The one posted by mod_po above your post will do.
Just remove the monitor from the build, then add in a GTX960 instead of 750TI, SSD instead of DVD/HDD and find a mobo which have PCIE gen3.