1. Eastbound to Europe - I always take a Halcion (Rx). Works perfectly. I also do this on any really long flights (LAX-SYD, or HKG) regardless of time of day.
2. Arrive and stay up late, no naps. Get lots of sun and exercise if you can...even if it's just a walk in the fresh air.
3. Take one melatonin (non-Rx) starting on your second night for two nights. After this you should be adjusted.
3. On the way home, don't sleep. Keep you window shade up, pretend it's a very long day. If you HAVE to sleep, limit it to the first half of the flight.
4. When you arrive stay up til your normal time at home.
5. Repeat step 3.

Guaranteed no jet lag at all for me...been doing this for years. Dr's are happy to prescribe Halcion (but they may suggest some newer ones...I've tried one that didn't work but don't remember the name. Most other folks seem to think it's great). Halcion is the trade name...the clinical one is Triazolam, and I think it might be marketed under the name Restoril (the other drug mentioned in an earlier reply) as well, but I am not sure about this.

Happy ZZZZZs