I did a lot of research into this and landed on the HTC One. With that said, it's a matter of perference. HTC One has a better screen, true 1080 P and a better processor (quad-core) and I think more memory, but I could be wrong on that last part. Note that the HTC One does not allow for any expanded memory, though I find it hard that anyone could max out unless you have some sort of huge library of songs and videos. Just use one or many of the free external cloud storage offerings to save most of your junk. The sound on the speakers that are in the front are awesome and the boost you get via earbuds or bluetooth speaker from their built in Beats Audio can't be beat...pun intended. The battery life seems respectable. I go an entire day without needing to recharge. The look and feel can't be beat. The camera is very good as far as taking photos and video in low light, but doesn't have great resolution compared some some of the other phones. Only has a 4 MP camera though it has some sort of special pixels. If you try to zoom in on a certain part of your photo, can can't get the clarity that you'll get with say, the Galaxy S4. I think all the new droids have 8 MP cameras, and I didn't wait long enough to find out how well they were or how well the programs the Droids have to produce photos and video.
Now I know the new Droids have some interesting sense and voice command integration since it was designed closely with the Android OS in mind. One or more of the Droids is made with Kevlar. Both have Gorilla Glass which you don't even need a screen protector. I used to use them all the time, but no don't bother. I figure by the time I ever have something hit that screen hard enough to scratch it, I'll be ready for an upgrade. I think you need a sledge hammer to leave a mark in those screens any ways.
As for look and feel, I sort of chuckle a tad since everyone ends up adding protection around their devices where you can barely recognize what the device looks like without the protection. With that said, there are some nice cases for the HTC One that maintains much of its look. I do like the look of the new Droids, and in fact owned Motorola Droid phones twice before I switched to the HTC One.
I'm sure you can't go wrong with one of the new Droids or HTC One. I'm not a big fan of the Galaxy S4. It's just made cheaply. Although it has the more powerful processor, the Samsung OS they put ontop of Android is huge, larger than HTC's and eats up a lot of onboard memory. Though, until Android loads even more processing load on these phones in the years to come, you'll probably find the performance off all these devices plenty good. My HTC One is so much faster than my Droid Bionic that was turtle slow before I kicked it to the curb.
Good luck!!!! Let us know what device you land on and how it works for you.