If you're going to be stopping or otherwise reducing your speed it's better to stay in gear with no throttle as most modern cars have a DFCO function (deceleration fuel cutoff) which cuts fuel consumption to nil when coasting in gear. Coasting in neutral is more efficient if you're trying to conserve momentum (like when driving on a hilly road) as you're not throwing away the energy you already spent to get up to speed (it's not like the engine braking converts air back into fuel.)
Then there's pulse and glide where you accelerate "hard" so that the engine is operating at the point where its specific fuel consumption is lowest and then coast in neutral (or with engine off for the hard-core hypermilers.) Don't try in traffic unless you want to piss off everyone else around you.
Quite a few hypermiling techniques are inappropriate (if not outright dangerous) in traffic, but can work quite well when used
wisely in the proper situations.
Anyway, back on topic. Out of the 4 cars I've owned, all but the first have had manual transmissions. I've also driven a semi so I know how to drive a non-synchronized manual as well. I'd like an automatic like the ones used in trucks, which are pretty much just a conventional non-synchronized manual transmission but with a computer operating the shifter and throttle to change gears without using the clutch.