A magnetic disc for a computer disc drive has distinct zones of differing lubricant thickness. A bonded+mobile zone covers a portion of the disc which preferably coincides with the landing zone. A zone of different lubricant thickness, such as lubricant-free, bonded-only or mostly-bonded, covers a different portion of the disc such as over the data zone. After a uniform layer of lubricant is coated over the disc surface, lubricant can be removed from distinct zones by solvent removal over a periphery of the disc and by removal by laser. The lubricant removal from distinct zones can occur either before or after bonding. Multiple lubricant thickness zones may be used, and the lubricant thickness profile over the entire disc can be controlled as desired.