There isn’t a great deal of information available about Lode Runner on the MSX.
From what I can tell, Broderbund themselves developed it, with some Japanese help. Sony published it in Japan in 1984.
MSX Lode Runner is a very good conversion overall. The game is well suited to the graphical capabilities of the machine. Some of the figures have been re-drawn slightly differently than usual though (for example: the figures usually have a distinctive pose when they’re falling, but in this version they’re different).
The MSX version uses the original Lode Runner graphical style, but blue bricks instead of red. Gameplay wise: the controls are precise and movement is smooth and there are no problems with getting snagged on things.
I’d put the MSX version of Lode Runner up there with the best of the 8-bit home computer versions.
More: Lode Runner on Wikipedia