Well the most important aspect of Fantasy is movement and Wood Elves are one of the best armies for capitalising on the movement phase. It helps define the combat phase since getting the all important charge can and will decide fights, not just because of who gets to strike first, but also more tactical aspects like where units will flee and pursue to, whether counter charges can be made, etc. Some people cry cheese when a Wood Elf player is really on form and able to dance rings around them, but in reality that player is just maximising the strengths of their army, they would more than likely be just as good with any other since they have had to learn to be that skilled.
The Wood Elves can also move and shoot with no penalty making them well equipped to hit and run, moving archers in to short range without being in charge range, etc. Short range being powerful for glade guard longbows due to their special rule making them stronger. The thing with skirmishers and dryads in particular is getting used to thinking in terms of more than just one unit. You can't just send a single unit of dryads in to a combat with a ranked unit as it will likely lose on SCR, you need to flank and multi-charge, which of course takes some finesse at times.
It is a bit like chess in a sense, since you will find that you jockey for charge ranges and multi-charges, etc; the main difference about Fantasy and 40k for me is that in Fantasy there is less importance placed on powerful weapons. There are powerful options available, but there is less of a sense of you must take so many powerfists/lascannons/meltas to be able to counter this.