The first one seems decent. I'm admittedly confused whenever I see 12-GB RAM systems, though. That and the off-center touchpad might make me wonder if it's going to have heat issues (using 3 RAM slots is unusual, as is the touchpad placement). Again, not sure what you two have for storage needs, but a 1-TB HDD is something I look down upon because laptops always come with the slow, 5400-RPM models. They're the slowest drives you're going to find on the market.
The second, I'd consider it rough overkill for you. Three reasons I think that:
1. IDK what Huniepop is, but looking at the Steam requirements, it takes nothing to run. So, while having a dedicated GPU is nice, if that's the toughest you're going to throw at your PC, getting something with a dedicated GPU is just throwing money at a problem you don't have.
2. The reason you see SSDs in computers much smaller than the HDDs is that they are much more expensive. My 256-GB SSD was something like $120, I think. My 3-TB HDD was $90, just to compare. That's the simple way of saying you don't need a SSD that big, and you're dumping extra money for no good reason by getting that.
3. You said $700-1,100, and that one's listed at $1,400 right now.
I'm just doing a glance at some very-filtered Best Buy results (haven't looked heavily at the Black Friday stuff elsewhere, and BB's stuff seems limited if you aren't a big fan of the 13.3" screen), but to cover yours first:
http://www.bestbuy.com/site/lenovo-yoga-710-2-in-1-15-6-touch-screen-laptop-intel-core-i5-8gb-memory-nvidia-geforce-940mx-256gb-ssd-pearl-black/5579128.p?skuId=5579128
You're going to take some noticeable hits in hardware. Instead of 2.5 TB of total storage, you're at 256 GB. Like I said, that'll cover most people's SSD needs for several years (128 GB is probably fine for most). I'd rather see you get an external HDD to hold stuff, if you need more that that, as it helps keep the laptop light and thin and cheap. The GPU is a step down, I believe (can't remember M vs. MX because I don't study laptop GPUs ever), but shouldn't be noticeable for you when Huniepop's asking for a DX9 video card (something that was a big deal about 9 years ago). You drop from the i7 to the i5, but you'll never notice, and you halve the RAM, but based on what you said, I doubt that ever hurts you. I think that's all worth shaving $550 off the price (BB currently has that at $850).
Just to note, there is a bigger version of that, where everything's the same, but you get the i7 and 16 GB of RAM (plus a 4K screen). It bumps the price from $850 to $1,200. It's a pricey jump that you might never see benefits of.
If you don't care about touch and want something beefier on the hardware front, this is going to be $850 at Black Friday there as well:
http://www.bestbuy.com/site/hp-omen-15-6-laptop-intel-core-i7-8gb-memory-nvidia-geforce-gtx-960m-1tb-hdd-128gb-ssd-onyx-black/5319600.p?skuId=5319600
It's only a 6th0gen i7, but the generation differences are rarely big with CPUs, so going back a year isn't a big deal. Plus, you go from the "lightweight," 2-core i7 to the high-end, 4-core one. The GPU's stronger, and you get the SSD-HDD combo, if you like that (and I could certainly understand not wanting to deal with the cable fumbling of an external HDD, especially if you tend to drop things--HDDs are fragile). Then, of course, it's not a convertible. You trade being thin and flexible for power.
The one your picked for your girlfriend, I think would fit her pretty well. It's hard to find many faults in an ASUS laptop in general, but if she's not living on her computer (meaning she doesn't have to constantly boot from that slow HDD), that should work out well. THe one quick alternative I could find is:
http://www.bestbuy.com/site/dell-inspiron-2-in-1-15-6-touch-screen-laptop-intel-core-i5-8gb-memory-256gb-solid-state-drive-gray/5606500.p?skuId=5606500
The battery life might be worse (3-cell battery, rather than 4-cell), but you get the faster SSD, a lower base price (by $100), and it's a little bit lighter. It sacrifices on the RAM, but shouldn't be hurt for basic needs, and like I said, the SSD can be a bit plus for boot times and program responsiveness. Given the tendency of women, I'll also not it might be a good idea to see if there's a style she likes in a laptop. They can be fashion statements to some (my sister and her husband had a lengthy discussion when getting a Surface Pro about which color keyboard to get...).
I'll also say that, if they're of interest to you/her, the Surface Pros are very nice devices, if you want something that handles really well as a tablet. You'll ultimately know what you want and like better than I will, same for knowing your girlfriend's needs for a laptop (Though she ultimately will likely know better than you as well). If your starting point is at 8 GB of RAM and an i5, and you're willing to spend the reasonable amount of money you mentioned, you'll ultimately be fine.
Don't worry TOO much about getting something perfect. If it looks good, and you care how it looks, go for it. If you want a convertible, there are great options from Lenovo (Yoga), Dell (XPS), Microsoft (Surface), and others (ASUS is almost always a good bet, HP has some nice-looking non-convertibles). If you want a touch screen, get it. If you're not gaming, or you only do things like the game you mentioned, don't be too scared to cut back to an Intel GPU if it gets you a better price or more storage.
Lastly, if you can, go to Best Buy or somewhere else. It can help to get a bit of a feel for the keyboard or see it in person.