Starter Fuse Blew?

[ReMorton]

...ward: This sounds weird, but also check the starter cable to see if it's broken. Had this issue on the MGB from hell also. Intermittent starting. I found it accidentally, pulled on it and it broke. Possibly you have cable that's about 99% broke thru..
Bob

[JST4FUN]

Double check your battery terminal connections under the battery cover in the trunk. I just experienced a similar situation where the starting was intermittant but the lights were fine. It turned out to be a broken positive terminal lug making intermittant contact...just touching isn't enough of a path to allow enough current to flow for the starter but enough for lights.