Together a wand core, wood and master are almost a complete build for a wand not counting length and flexibility of course! There are over 30 woods that you may choose from and I will gladly name all of them.

Acacia:
Produces very particular wands that only produce magic for their owner.

Alder:
Pairs great with agreeable masters.

Apple:
Produces powerful magic but doesn’t make dark magic.

Ash:
These wands are some of the most loyal and will not perform to its full standard with anyone but it’s true owner.

Aspen:
Often used by due lists and performs best when practicing martial magic.

Beech:
Pairs poorly with those close-minded witches and Wizards.

Blackthorn:
Performs best when paired with fighters and creates a bond with its master after being used in a dangerous situation.

Black Walnut:
Performs well for a mindful owner, preferably an owner gifted in charmwork.

Cedar:
Often selects particularly shrewd witches and Wizards.

Cherry:
Carries destructive power and is a very rare wood.

Chestnut:
Often favored by masters that are gifted in CoMC and herbology.

Cypress:
Pairs well with gallant and unselfish witches and Wizards.

Dogwood:
Very particular, these wands refuse to perform most difficult charm work for example; non-verbal spells.

Ebony:
Selects witches and wizards who are self assured and gifted with transfiguration. But often chooses wizards who are great duelists.

Elder:
Elder wands are rare and difficult to master. Choosing remarkable masters.

Elm:
Prefers dignified owners and produces charmwork with rarely any errors.

English Oak:
Produces loyal owners that prefer equally loyal owners.

Fir:
Often selects a decisive and confident owner, extremely gifted in transfiguration.

Hawthorn:
Masters often carry gifts for curses and healing spells.

Hazel:
Is the only one with a special effect; naturally able to detect water underground, not recommended for those unable to control their temper.

Holly:
Well-suited to masters prone to emotional outbursts. Selects masters who are destined to undergo a prestigious quest.

Hornbeam:
Mates for life right after being selected. And chooses passionate owners unable to be open minded.

Larch:
Known for making the master more self-assured.

Laurel:
Poor match for an apathetic owner and performs well for an owner seeking glory.

Maple:
Chooses determined masters who enjoy travel.

Pear:
Carries resilient power, choosing most benevolent owners.

Pine:
Well suited to powerful owners gifted in non-verbal spells and selects individualistic masters.

Poplar:
Rarely produces errors and pairs well with masters that carry distinct principles.

Red Oak:
Often selects owners possessing quick reflexes and produces powerful jinxes and dueling spells.

Redwood:
Said to be good luck, assembles wands made for owners who are predisposed to making smart choices.

Rowan:
Selects witches and Wizards with a strong sense of morals. And produces incredibly strong defensive charms.

Silver Lime:
Popular for its unique color and is useful for seers and Legilimens.

Spruce:
Not recommended for hesitant masters and was assembled for self assured spell casters with a good sense of humor.

Sycamore:
Pairs well with those seeking adventure, becomes bored with mundane, boring requests from its master,

Vine:
Often chooses owners who wish to accomplish something out of the ordinary and produces powerful spells.

Walnut:
Commonly chooses those with superior intelligence makes for a weapon if the master lacks morals.

Willow:
Carries the power of healing, and doesn’t perform well for dark spells. But chooses owners who are unsure of themselves in some way.

Yew:
Reputed to be fearsome wands made for duelists. Chooses both heroes and villains.