I have played with many of those for short amount of time, so I might be able to judge from my limited experience, but I can't make definitive opinion, I think each phones have their own advantages. It's better to mention the main thing that stand out for each model.
1-Moto X* (Pros: software, look/feel, battery life; Cons: camera)
2-Nexus 5 (Pros: Pure Android, screen, performance; Cons: battery life, camera)
3-Note 3 (Pros: screen, battery life, performance; Cons: Touchwiz)
4-LG G2 (Pros: screen, battery life, performance; Cons: software/UI)
5-Droid Maxx (Pros: software, battery life; Cons: camera, weight/bulk)
6-HTC One* (Pros: look/feel, screen, speakers; Cons: battery life, bezel/buttons)
7-GS4* (Pros: camera, screen; Cons: Touchwiz, look/feel)
8-HTC One Mini (Pros: look/feel; Cons: outdated specs)
9-Moto G (Pros: price; Cons: outdated specs, no LTE)