I would suggest to go for jMonkeyEngine with my eyes closed. Its based on LWJGL. But, starting form pure LWJGL can be quite a lengthy road. jMonkey engine is based on LWJGL and all the necessary things are already done for you. You just need to have a game concept and jump right into programming, which is very easy with jME. As you have mentioned your skill level as beginner in your post, I would suggest not-to-start with LWJGL.
Its on Beta right now. But, don't back of. Its quite stable and full of feature. Most importantly its a shader based engine. There are some fixed function rendering pipeline support, but hey, who should pick an old tech unless s/he has a very specific reason to do so?
Documentations are absolutely fantastic. Very rich and covering a wider variety of concepts. Anyone with a basic java skill can jump right in. Community forum is vibrant. If you stumble upon any bug, its fixed very quickly.
jME isn't just a java library. It comes with a game development environment which is based on NetBeans. All 3rd party tools like, Font Converter, Blender/mesh/obj importer, Scene Editor all are included, they just work!
I can't emphasis it enough. There are lots of other java based game engine out there. But trust me your time with jME, you wont regret it.
oh, did I mention...jME has just announced a Game contest as its stable release is nearing. join it if you can. :)
If you still wish to know about other java engines, just give a knock.