I have tried like 500 fragrances and this is my current wishlist:
Niche:
Matiere Premiere Radical Rose
PDM Layton
Xerjoff Starlight
Designer:
YSL La nuit de l'homme
Dior Homme Sport
Bleu de Chanel EDP
Chanel Platinum Egoiste
Dior Sauvage Parfum (Underrated gem, everyone knows the EDT or EDP but parfum is criminally slept on and smells pretty different from other concentrations)
JPG Le Male Elixir
Armani Stronger With You Absolutely
Hugo Boss Bottled Elixir
I own or have tried and planning to buy all of these, it's my top 11, it's my personal preference but I recommend trying all of these. Now for the notes you said you like, on the left is easier to wear while more right are fragrances that are a bit less mass appealing, more challenging.
Wood: Dior Homme Sport (Citrus/musk/wood), Hugo Boss Bottled Elixir, Sauvage Elixir
Vanilla: JPG Le Male Elixir, SWY Intensely, SWY Absolutely, Spicebomb extreme, PDM Layton, Xerjoff Starlight, MMM By The Fireplace (burning vanilla wood), PDM Herod, Initio Absolute Aphrodisiac
Spices: Dior Sauvage EDP/EDT, Sauvage Elixir, La nuit de l/homme le parfum, amouage interlude (incense spice amber, will knock you out if you haven't tried it before)
Amber: Most fragrances have some, but if you want absolute peak amber look into MFK Grand Soir.