Athletics
Acrobatics
Archery
Alteration
Restoration
Alchemy
I don't really sneak so the build relys upon using speed and agility to keep distance from opponents while I pepper them with arrows. I carry an assortment of arrows with different enchantments to use in specific situations and augment my affects further with poisons. Alteration and Restoration are used to protect myself as well as heal.
This playstyle is impossible in Skyrim primarily due to the lack of Athletics and the new dual wield system. Everyone effectively has the sane run speed and archers are incredibly slow while trying to fire an arrow, ranger perk is very high up the tree so it changes nothing. Add in no acrobatics so I can't effectively use the surroundings to my advantage in most circumstances. Then with the dual wield system magic use and bows don't work together, having to unequip the bow, cast the spell and re equip the bow takes forever. The final nail in the coffin is no enchanted arrows, removing my ability to customize my added effect for the situation.
You can obviously use archery in Skyrim but the builds are relegated to either being a sneaky archer relying on a smithed bow with a big enchantment to drop enemies in one to two hits or someone who uses archery to weaken an enemy before pulling a melee weapon out.

