I’m a bit behind the times, but RPG.net has Traveller Starter Set is available for free. This was a boxed set roughly contemporaneous to Moldvay Basic and serving a similar purpose.
What is different from Moldvay Basic is how complete it is. The rules book is essentially the three LBB reformatted. You need never buy another item with this set.
Randall at Retro-Roleplaying has a quality review of the contents.
Given what I’ve been reading* the idea of some Traveller sounds fairly interesting. The book would make an interesting starting point for sure.
*S. M. Stirling’s The Sky People if you’re reading this long after it is posted.