There aren't descriptions available for each achievement specifically. You basically have to near 100% the game to get all of the achievements in Wordle. The achievements pop upon returning to the main menu, so periodically return to the menu during your playthrough if you want to update them along the way.
Solutions for each section of the game are as follows:
Animals
*** Spoiler - click to reveal ***Level 1: Pig, Dog, Rat
Level 2: Cow, Cat, Ape
Level 3: Horse, Duck
Level 4: Snake, Swan
Level 5: Elk, Fox, Emu
Level 6: Ferret, Bat
Level 7: Guineapig
Level 8: Goose, Hawk
Level 9: Rabbit, Yak
Level 10: Chihuahua
Beach
*** Spoiler - click to reveal ***Level 1: Sand, Kayak
Level 2: Hat, Bikini
Level 3: Sea, Family
Level 4: Waves, Boat
Level 5: Scuba, Ship
Level 6: Tan, Island
Level 7: Towel, Swim
Level 8: Beach, Surf
Level 9: Surfboard
Level 10: Sunscreen
Camping
*** Spoiler - click to reveal ***Level 1: Woods, Path
Level 2: Stars, Tent
Level 3: Canoe, Camp
Level 4: Hike, Trail
Level 5: Lake, Climb
Level 6: Gear, Cabin
Level 7: Trees, Rope
Level 8: Trip, Boots
Level 9: Equipment
Level 10: Adventure
Computers
*** Spoiler - click to reveal ***Level 1: App, Server
Level 2: Save, Mouse
Level 3: Disk, Cloud
Level 4: Email, Hack
Level 5: Ram, Laptop
Level 6: Bit, Router
Level 7: Login, File
Level 8: Hyperlink
Level 9: Algorithm
Level 10: Mainframe
Monsters
*** Spoiler - click to reveal ***Level 1: Ogre, Devil, Banshee
Level 2: Godzilla, Basilisk
Level 3: Orc, Hag, Imp, Cyclops
Level 4: Dragon, Titan, Troll
Level 5: Yeti, Vampire, Ghoul
Level 6: Undead, Ghost, Demon
Level 7: Bogeyman, Behemoth
Level 8: Zombie, Mummy, Hydra
Level 9: Spirit, Harpy, Beast
Level 10: Gargoyle, Werewolf
Art
*** Spoiler - click to reveal ***Level 1: Draw, Crayon, Museum
Level 2: Ink, Pastel, Stencil
Level 3: Sculptor, Charcoal
Level 4: Film, Model, Palette
Level 5: Canvas, Paint, Erase
Level 6: Masterpiece, Color
Level 7: Brush, Chalk, Artist
Level 8: Photo, Craft, Pencil
Level 9: Watercolor, Marker
Level 10: Creativity, Marble
Science
*** Spoiler - click to reveal ***Level 1: Cell, Energy, Motion
Level 2: Mineral, Astronomy
Level 3: Variable, Genetics
Level 4: Matter, Experiment
Level 5: Lab, Beaker, Measure
Level 6: Chemical, Organism
Level 7: Fossil, Microscope
Level 8: Flask, Mass, Zoology
Level 9: Geology, Chemistry
Level 10: Physics, Radiology
Food
*** Spoiler - click to reveal ***Level 1: Bacon, Bagel, Flour, Grape, Honey
Level 2: Bread, Lettuce, Cereal, Chicken
Level 3: Ham, Kiwi, Cheese, Cherry, Coffee
Level 4: Cookie, Berry, Halibut, Ketchup
Level 5: Egg, Beans, Cake, Hazelnut, Lemon
Level 6: Jam, Avocado, Casserole, Cashew
Level 7: Custard, Cinnamon, Fruit, Grain
Level 8: Lime, Beef, Celery, Hotdog, Cream
Level 9: Biscuit, Guacamole, Chocolate
Level 10: Cauliflower, Almond, Broccoli
Family
*** Spoiler - click to reveal ***Level 1: Son, Home, Relative, Engagement
Level 2: Aunt, Bride, Children, Ancestor
Level 3: Grandpa, Sister, Nephew, Divorce
Level 4: Love, Family, Wedding, Grandson
Level 5: Folks, Cousin, Foster, Adoption
Level 6: Uncle, Friend, Fiancee, Nurture
Level 7: Twin, Father, Brother, Relative
Level 8: Heir, Grandma, Husband, Sibling
Level 9: Marriage, Daughter, Fraternal
Level 10: Mom, Niece, Groom, Parent, Mother
Sports
*** Spoiler - click to reveal ***Level 1: Tennis, Soccer, Archery, League
Level 2: Golf, Surfer, Cricket, Hardball
Level 3: Arena, Hockey, Cyclist, Offense
Level 4: Referee, Football, Outfielder
Level 5: Karate, Bicycling, Gymnastics
Level 6: Dugout, Softball, Quarterback
Level 7: Defense, Billiards, Badminton
Level 8: Lacrosse, Teammate, Bobsleigh
Level 9: Boxing, Paintball, Scoreboard
Level 10: Player, Exercise, Parasailing