Nvidia has TXAA, but it's not used a whole lot yet and can affect performance somewhat. AMD for some time has used a less sophisticated EQAA, while being less resource hungry. Nvidia also opted for HBAO+, whereas AMD has had far more success at HDAO than they have (more optimized than Nvidia's HDAO). HDAO is also rendered using ALL real time light angles, unlike HBAO+.
Nvidia has light strobing and G-Sync, while AMD will be opting for FreeSync, soon to be available via monitors that support DP 1.3. In general AMD tend to swing toward affordability and non exclusivity. Their Game DVR capture tool via Raptr for instance works with both AMD and Nvidia, unlike ShadowPlay.
You can write off ShadowPlay and Game DVR though, because in reality they're pretty much a wash. As far as optimizers go, the one click ones that rely on user settings databases are never as good as manually adjusting settings yourself, along with file edits, cvar commands, and shortcut switches.
PhysX and TressFX are seldom used so don't really factor in. And multi monitor features, Surround, Eyefinity, only apply if you have money to blow on multiple displays and high res graphics power.
Mantle as mentioned is AMD's new API as a DirectX alternative, but it's hit and miss success along with Nvidia's refusal to adopt it has most people more interested in what MS' new low level DX12 will be like. Word is they're going to be applying many of the optimizations to DX11 as well. These won't be available until end of 2015 though, and it remains to be seen just how effective it will be, esp considering it has to work for both AMD and Nvidia GPUs.
No matter what becomes of Mantle and what anyone says about AMD's spotty success with it, they've already had quite an impact on gaming just getting MS to FINALLY step up and try to give DX some REAL optimizations.
Unfortunately what it ultimately comes down to is which GPU chip vendor the devs decide to have endorse their games and which features they use. This is why you're never going to get the best out of every game.
I like AMD's philosophy of bang for buck and trying to maintain good performance, and in some cases they do so even with superior visuals (HDAO), but Nvidia often have more consistent actual chip quality with their GPUs.
It's a real mixed bag that lately more so than ever keeps people constantly staying informed to make their decisions. Such competition is good for the industry though.