Accessing the latest version requires a bit of savvy, as the direct links change frequently to avoid blocks. Here is the safest and most effective method:

: Utilizes a custom OpenGL emulator to render 3D voxel graphics in the browser. Gameplay Features (1.5.2 Version)

Eaglercraft GitHub Archive : Access the source code or find links to hosted instances. :

No download, no Java required. Works in any browser.