Good headset for gaming and a good mic for VOiP (skype)

I cannot recommend anything $80 for gaming because it's not worth it at all.

Even tho your budget is $80 I will recommend the best ones out there in case you change your mind or save up more money for a good gaming headset.

Go for a Astro A50. Virtual 7.1 and uses a toslink cable instead so yes make sure you have a optical connection on ur motherboard. I use it for my PC and PS4. I have 3 other $150+ headsets that I don't use becuase of these A50. New they will run you at $300 but worth every penny.

If you're wearing eyeglasses of any kind, you might want to try find a "supra-aural" headset rather than a "circum-aural" one.
The former presses on your ears rather than covering them, so it might isolate less sound, but it'll provide some degree of comfort if you're wearing anything else in front of your eyes; on the other hand, depending on the padding material used, they might become uncomfortable faster than their latter counterparts, as the pressure generated on the ears will actually be either slightly or MUCH more painful.
I used to have an economical pair which forced me to stop for a while every hour, for how much they hurt...

If you're playing any online game the casual way (strictly non-competitive have-fun matches), you won't need anything fancy, so a good 2/2.1 channels headset will fit you nicely, and they usually go for lower than the 60$ value point. Logitech has a lot of models for that, and you really just need to "choose your own poison" with a classic 2-year warranty, most of the times.

If you, however, want something for more competitive twitch-games, 5.1 headsets will provide some relative advantage, especially if you're playing games where hearing your surroundings is useful (mainly FPS games); that, however, will usually bring you MUCH above the 80$ point, and your best bet is waiting for sales and offers. Keep also in mind that most of them are circum-aural, so you'd have the issue of Gunnars. IDK if you can, but with my current headset, my eyeglasses are worn so that the left and right "sticks" (don't know their name in english, and I'm not natively english ) sit on top of the earpads, rather than under them. Anyway, In this case, you should look at Turtle Beach, Tritton, SteelSeries, Razer and some high-end Logitech models.

This is an awesome example for a sale, but looks pretty much like my current CM Storm Sirus, and will start hurting if you wear eyeglasses of any kind under their pads
http://www.amazon.com/Logitech-Wireless-Gaming-Headset-Surround/dp/B003VANOFY/ref=pd_cp_vg_1
For 30$ more than your budget, however, you're getting a semi-premium grade gaming headset...

It depends on the wireless signal quality and on the headphone model. I never owned a wireless pair, so I don't really know, but I can assume that, provided you're not two rooms away from the PC, you won't notice any delay