The easiest Traveller version is definitely the one from Mongoose.

Also, you should check out Seth Skorkowsky’s overview videos:

https://youtube.com/playlist?list=PL25p5gPY6qKVUg6ys5N1oRlsBI7DTByyI

From your last sentence, perhaps a few of Seth Skorkowsky’s videos fit the bill:

https://youtu.be/0j43ukEIFUM?si=R7X34IHOkRmvO-wJ

https://youtu.be/fDuDDz8pKgk?si=sNu0n6sb_slOagyz

https://youtu.be/uAIUhQatJrg?si=dpr-4MtR088dcHsm

https://youtu.be/hNElPzNkgOs?si=C0eigQvIxpsMIdEU

But then I have to ask: What do you think is a better player? How does your table work? What kind of games does your group prefer? What do you all appreciate the most from the game?

Some groups are delighted when everyone has a great backstory, while others yawn at it. Some groups enjoy voice acting while some of us don’t bother as long as you stay in character when needed. Some like full immersion and others mostly like to hang around with friends. Some like the sandbox while others wish for a carefully thought out plot. Some like hack n’ slash and others prefer political intrigue and social interactions.

How do you describe a fun, a great session?

Thanks! I'm pretty sure I'll have UV clearance.

Thanks!

And here I was thinking that no Traveller/Cepheus players had made it to the Fediverse..!