I'm really bad at blender, so my mistake might be the simplest, but I have a few glowing lines around my Minecraft rig and blocks. Here's the blender file: My .blend file If this helps, my rendering engine is on Cycles Render.
This can probably be resolved by setting the texture interpolation to Nearest Neighbour. This gives you that pixelated Minecraft look too. See the answer to this question for more info in how to do that.
I took a look at your blend file. As it seems, all your textures are linked to one image with many square-like texture images which are VERY low resolution and with transparency. As far as I figure, the white lines come from smoothing from the texture color to the transparent parts of the texture. This always happens, but it is very pronounced as your textures have such a low resolution (I guess something like 32x32 pixels or so)
I suggest that you create textures with higher resolution and replace your low res texture images with high res ones.