You're talking about Droids, so you must be with Verizon.
The Droid Turbo is pretty good, but like you said, the Turbo 2 is soon to come out. I'm not too enthusiastic about it though (if the rumors are true), as it's said to have the Snapdragon 810, which is plagued with overheating and performance (thermal throttling) issues.
The Moto X Pure won't be listed on Verizon's (or any carriers') site because it's sold unlocked direct from Motorola (or Amazon or BestBuy or wherever). Unlike other unlocked phones (save the Nexus 6), these will work on Verizon, you just have to go through a process of registering the IMEI in their system. The Moto X Pure is a device I'm heavily considering myself. The screen is super-bright (and big!), it has dual front-facing stereo speakers, and good build quality. The reviews I've read say that camera is good, but a step below the Galaxy S6 (and its current relatives) and the LG G4, likely due to the lack of optical image stabilization. Plus, being a Moto X, you can use the Moto Maker to completely customize the colors, and even get a leather or hardwood (bamboo, walnut, ebony, blackwood) back, plus choose 16/32/64gb of base storage, which can be complimented with a microSD card. Since it's a Motorola, the interface is basically stock Android (with some handy additions), so you're not bombarded with useless crap and "features", and the phone won't get bogged down with them either. It'll receive quick security and OS updates. Best of all, since it's sold unlocked, there will be no carrier bloatware. And not being tied down to carriers, updates will come directly from Motorola, without Verizon's typically incessant and slow meddling delaying them.
The Galaxy S6 line includes some amazing devices, with the most powerful chip available on the market, and the best cell phone camera you can get (tied with the LG G4). But while the build quality has turned premium (to compete with Apple), this comes at the sacrifice of practical features, like a microSD card slot and a removable battery. Plus, if you liked the interface of your Droid Mini, you'll probably hate Samsung's TouchWiz interface. So many redundant features, so many useless ones, and the menus are infuriatingly convoluted and unintuitive. The fingerprint scanner is cool though.
Any reason you're not considering the LG G4? As I said, its camera is only matched by the Galaxy S6/Note 5. Plus there's the microSD card slot and the removable battery. Having a removable battery is a huge advantage in the long run. Over time the battery degrades. After about 500 cycles, you'll have lost upwards of 20% the battery's original capacity. The new Samsungs are practically impossible to replace the battery on your own. The Motorolas are less difficult, but still not as easy as simply going on eBay and ordering a new one that you can pop in and out, which you can with the G4. Plus, a spare is never a bad thing to have around. LG's interface isn't exactly stock Android, but I've found it to be much more intuitive and far less frustrating and messy than TouchWiz.
My personal recommendation to you, based on what you've said, would be get the Moto X Pure. Max out the base storage, and choose a wood back option. Even if you put it in a case, it's still cool. Completely tricked out, you're looking at $525, which is far less than any flagship Samsung or iPhone. The interface will be completely familiar, zero Verizon bloat, quick updates, and a great multimedia experience. The one caveat is that you have to buy one outright; no contract subsidizing.
2nd recommendation would be the LG G4 because of its superlative camera, expandable storage, and removable battery. My dad (65 years old) just asked me about getting his first ever smartphone (a question I've been dreading). But he definitely did his research, and had it narrowed down to to the LG G4 and the Galaxy S6 Edge+, leaning towards the G4. I told him the G4 would have been my recommendation even if he hadn't done his research. You can subsidize it over a contract, and since LG is floundering a bit in the market, the price is less than Samsung and Apple.
As for Apple, I highly doubt you'll enjoy it, if you've been using Android for years. My own opinions with Apple and iOS aside, you'll be finding yourself frustrated as to why you can't do things you could easily do with Android, and why you can't do other things at all. No custom launchers, no widgets (well, sorta, in the notification dropdown), and the homescreens are just a mess of app icons that you can't do anything with but rearrange. Whereas with Android, the possibilities are limitless. Plus, there's no simple drag-and-drop file system (either on the phone or when connected to a PC), and if you want to do anything with videos or music, you have to deal that the infinitely insufferable iTunes.
