The latest LWJGL snapshot (3.1.1 build 5) includes bindings to Assimp, a library to import and export various well-known 3D model formats in a uniform manner. It also features various post processing tools, including frequently-needed operations such as computing normal and tangent vectors, ACMR optimization, etc.
The build that comes with LWJGL includes all supported file formats (about 40 of them), so the shared libraries are bigger than usual. Assimp supports cmake, so you can easily create a custom build that includes only the formats you need, making it much smaller. You can then drop it in LWJGL and it will work just fine.
The bindings were contributed by SHC, many thanks to him!