Need help choosing graphical upgrades.

Tough question. GPU upgrade to something around the $150 price point would be your best bang for the buck upgrade.

Even at that price your CPU is going to be holding you back - but a good upgrade to CPU (if you can find a LGA 1155 Quad or better yet unlocked quad i5/i7) is going to set you back about $200 and might not give a lot better performance (without the GPU upgrade).

If looking at upgrading both the CPU and GPU there might not be enough left in your budget to go for the PSU.

GPU: Lowest priced version of the highest rated card on this hierarchy chart http://www.tomshardware.com/reviews/gaming-graphics-card-review,3107-7.html

Around $150 that would be a r7 265/270/270X maybe a GTX 760.

CPU: There is a similar chart here: http://www.tomshardware.com/reviews/gaming-cpu-review-overclock,3106-5.html

But as your 3220 is already in the 2nd tier - it doesn't leave much room to go up. All you can do with your motherboard is go for an LGA 1155 quad. Check the specs on your motherboard to know if there is even the option to overclock the CPU - if not - no need to get an unlocked quad as you can't OC it.

Short answer:
- Get a GTX970, specifically this card: http://pcpartpicker.com/part/evga-video-card-04gp42974kr
or http://www.newegg.com/Product/Product.aspx?Item=N82E16814487076&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-_-na-_-na-_-na&cm_sp=&AID=10446076&PID=3938566&SID=
- redeem the free FC4 with the GTX970 (make sure that's a store option). Don't get Unity or the Crew.

Two upgrade paths:

*First, let's look at a graphics card comparison but note it assumes minimal CPU bottleneck so with an i3 cards would be closer together with some games performing almost the same and some games lower due to a CPU bottleneck:
http://www.techpowerup.com/reviews/ASUS/GTX_970_STRIX_OC/25.html

The GTX970 is almost 2X as powerful as the R9-270X (with overclocks it would be almost exactly).

Path#1:
- GTX970
- *For this path avoid games that you'll be heavily CPU bottlenecked with. There are still plenty of games that will run nicely on your i3 with a GTX970, and would give a BETTER experience than an i5 quad-core with a lower-end graphics card. In fact, MOST games will.

(for the future it's also difficult to predict but one important point is DX12 can actually reduce the CPU overhead. Regardless, I think the PRESENT situation is really the most important to consider including older Steam games since many are still fun and cheap)

Path #2:
- i5-3570 ($200) +
- R9-270X 4GB
http://pcpartpicker.com/part/sapphire-video-card-112170420g
or
http://pcpartpicker.com/part/gigabyte-video-card-gvr927xoc4gd

Recommend at least 3GB per card of VRAM even for R9-270X (due to new console ports using more VRAM than in the past).

Other:
Far Cry 4 and i3-3220:
http://www.techspot.com/review/917-far-cry-4-benchmarks/page5.html

*Note the dual-core (with hyperthreading) i3-3220 almost matches the i5-3470!! Thus it's more GPU bottlenecked overall so the better graphics card will benefit most.

I can confirm this for many games as I can use Task Manager to observe a lot of UNUSED CPU cycles on a modern i5 CPU.

For example, in Crysis 2 with a GTX680 (same as GTX770) the i3-3220 manages 76FPS still on Ultra at 1080p. While this isn't comparing many other CPU's my POINT is that it's getting over 60FPS already for a reasonably modern game (51FPS minimum). In fact it's the GRAPHICS CARD which is most important here.
http://www.bit-tech.net/hardware/2012/11/26/intel-core-i3-3220-review/6

Summary:
- I recommend just getting a GTX970.
- FC4 appears to run nicely with an i3-3220 and GTX970
- choose new games carefully if keeping i3 to prevent major CPU bottleneck and the i3/970 setup will be much better than the i5/R9-270X setup.

*I've been looking carefully at my Task Manager for CPU Usage, online benchmarks/reviews and even have turned my i7-3770K into a simulated i3-3220 in the BIOS (ran at 3.2GHz and disabled two cores but kept HT).

With my simulated i3-3220 and GTX680 I'm still getting a pretty great gaming experience and it's obvious to me that for most games the Graphics Card is the most important.