Yes.
I'm under the impression that Android Wear devices will do most, if not all, of the things you want, though I don't actually own one. There are many of them at this point; I've personally only used the Moto 360, and quite liked it, but just could't justify the expense.
I won't echo the sentiments of the other comments but you may want to explore the Microsoft Band. It falls short on bluetooth music player. However, whether iPhone, Android or WP, you have cross-integration. Something not afforded by the other main products currently (though, rumored Wear will interface with iOS). The ergonomics of the Band needs minor improvements. The dedicated GPS and range of sensors is mostly in a class of its own. Dedicated GPS is only on the Sony Wear as far as I recall.
That's the #2 function (next to accurate time/timing) I want from my smart watch: bluetooth music without the need for my phone. Dealbreaker without it.
A decent heartrate monitor that works with at least some accuracy when sweating would be amazing and I would pay a decent amount for a watch that also included that, but it isn't a dealbreaker like the bluetooth music without the phone.
http://www.sonymobile.com/global-en/products/smartwear/smart...
You can store music on the watch, but the sync is so slow and the data cap is 2 GB that unless I want to listen to the same playlist on infinite repeat its not viable. You'd also need bluetooth headphones, which is a purchase I don't feel I actually need... generally when running I'd rather be alert of surroundings less I get hit by a truck while jamming to a favorite track.
My use of music controls on the watch has been this: phone is sitting around office or home and connects to sound bar, I can leave phone charging somewhere while reading / studying / drawing and if I want to change tracks or volume its a flick on the wrist. Otherwise while in the subway + listening via headphones on a crowded train, can change music while keeping a grip on subway poles.