I'd love to share more -- anything to help out a fellow driver!
The Elantra is a coasting monster. Get those tire pressures up and try coasting in neutral -- I think you'll be shocked at just how far it will roll.

Your car has VVT I believe... mine doesn't so it isn't quite as efficient as yours is.
When getting up to speed, I shift into 2nd at about 6mph, 3rd at about 15mph, 4th at 23mph, and 5th at around 32mph. If you need to accelerate faster, just shift at 10, 20, 30, and 40mph. About the best I've seen for steady state driving in this car is 50mpg or so around 20mph letting the car pull itself along in 5th... Obviously this isn't feasible for most driving.
It responds really well to P&G but the reboot time for the ECU is just glacial if you use FAS. I FAS the car an awful lot and there is a point at which you can kill the engine and key back to ON almost immediately. Right around that point the car will sometimes accomplish a reboot much more quickly. I can tell how long it takes by watching the ScanGauge -- it freezes on the last consumption rate seen for the duration of the reboot, then starts updating consumption again. It reads distance measurements just fine during the reboot.
If you don't have a ScanGauge yet, I highly recommend one! You can see my first 40+mpg tank in the logs -- that didn't occur until I got a SG and that tank only had it for about half a tank!
Start looking for the most efficient routes to take advantage of. If you refer back to my graph you'll see a big drop around the August timeframe of last year. I had just switched jobs and was having difficulty with the routes. When I finally latched onto the route I use now for work travel the tank numbers came right back up. Don't underestimate the influence of your chosen roads and times of day for travel!
I recommend starting with the basics first. DWL, DWB, RR, PP, Light Timing, Route Choice, and shutting off at long lights are all good places to get familiar with. FASing is more advanced and you should make sure you keep an eye on the battery voltage (possible with a ScanGauge) -- especially if you do it at night as those headlights really draw a lot of power. Speaking of which, my car won't run the headlights when the key is in the ACC position -- which means the headlights blink when you FAS.
Let me know if there are any particulars around the above that you'd like more explanation of and I'll be happy to expound. Our other members can also help with general techniques that apply to many other cars. I've not been driving my Elantra as much since I bought the Insight (I kept the Elantra as I have a baby on the way

) but I recently managed a 73.0mpg trip in it over about 17mi. Whenever I finish this tank (last filled in January

) it should be a pretty good average.
The sky's the limit!