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Things that actually work:
Try and cost up to red lights so you don't have to start from a stop when it turns green. It takes a lot of energy to get a car up to speed from a stop, starting from 10mph instead of 0 is something. This is probably the hardest thing to do. You pretty much have to know the road and the lights, but once figured out, you should really minimize your complete stopped takeoffs.
Drafting trucks on the HWY works. Just don't tailgate or do stupid things. Drafting 50' back helps out.
Shutting off the engine helps, but you have to know how much fuel your car takes to start for it to be really effective. I only turn mine off at rail road tracks, known long red lights. People who do it all the time have not likely paid to have a starter replaced. Not sure on a Corolla, but on another car of mine, changing it would involve removing the intake manifold.
Aside from driving skills that work, and trying to avoid the snake oil that does nothing but wear your starting and tires out faster, just driving a slower top speed helps.
Driving 55MPH got me 43MPG once, and I was stuck in Chicago rush our traffic trying to leave town to get to the HWY. I wish I had a scan gage to know what it can really get at 55MPH.
Sammy Hagar said it best tho. I can't drive 55.
Your "Things that actually work" are good points which I've been doing for quite some time.
I would also like to add skipping the drive-thru at a fast-food place or at a bank. Sitting and waiting in long lines is a total waste of fuel so whenever I go to these places I park my car, shut off the engine, and go inside to order up or make a transaction. It's better to waste human time rather than burn off unnecessary fuel.
Slowing down, or driving the speed limits, and not tailgating is one thing that helps.
I laugh at those, especially SUV, pickup, and van owners, who speed by me doing 80+ MPH on the highways. They're the ones who bitch and complain that they get 0 MPG and have to pay $$$ to fill up. Well, DUH!! Maybe if they'd slow down they'll see their MPG improve get their money's worth on a tank full.
IMO, the reason why you get traffic jams is because people follow too closely or tailgate the car in front of them. If people would leave a few car lengths in front of them, it would lead to less stopping and going and keep traffic moving.
I've done this many times while stuck in rush hour or construction zones, where everyone is merging in to one lane, and it works. Even though I'm moving or idling slowly, I'm keeping the traffic flow moving while the traffic in front stops and goes. Of course, people are going to pull in the open space in front, but as long as I keep my distance the traffic will keep flowing.