Wood elves are pretty similar to high elves, however, I believe the high elf wizard gets a +1 to hit with magical attacks and instead I gave the wood elf a bump to damage with the longbow (from 1d8 to 1d10). Since the player was very inspired by the WoW Hunter, I kind of exchanged a second Theme (per Mearls' suggestion this week) with a variation on Channel Divinity from the dwarf cleric.
Race Wood Elf
Class Fighter Level 1
Background Beast Master
Str 12 (+1) Dex 16 (+3) Con 13 (+1)
Int 12 (+1) Wis 12 (+1) Cha 13 (+1)
Space/Reach 5 feet/5 feet
Speed 30 feet
Melee Attack shortsword +4 (1d6+3 piercing)
Ranged Attack longbow +6 (1d10+5 piercing) [170 feet/700 feet]
Race: Wood Elf
Free Spirit: You are immune to the charmed condition and to effects that put you to sleep.
Keen Senses: You have Advantage on checks made to listen, search or notice something.
Low-Light Vision: If there is no light within 30 feet of you, you treat shadows in that radius as normal light, and you treat darkness in that radius as shadows.
Weapon and Armor Proficiencies: You can wear all armor, use all shields and wield all weapons.
Weapon Focus: you gain a +2 bonus to damage on weapon attacks.
Background: Beast Master
Animal Handling +3, Natural Lore +3, Survival +3
Feature: Animal Companion (see below).
Feat: Force of Nature
Benefit: You may use any of your Force of Nature options three times per day.
Force of Nature Options
Alpha: You touch your animal companion. It regains 1d10 hit points and expends a use of Force of Nature.
Quarry: Once on your turn, you can expend a use of Force of Nature when you hit with an attack. You deal an extra 1d10 damage with the attack.
Animal Companion: Wolf
Str 14 (+2) Dex 14 (+2) Con 13 (+1)
Int 5 (-3) Wis 12 (+1) Cha 10 (0
Speed 40/10 (climb/swim)
Melee Attack bite +4 (1d6+2 piercing)
Special Traits* Perception +3, Stealth +3
*The animal companion gives the character these skills, similar to a rogue scheme.