I had never counted them before! So I went into eBird and parsed the list.
This is based on USA, plus trips to Puerto Rico, Dominican Republic, Trinidad and Tobago, Panama, Guatemala, Argentina, 5 trips to Mexico, 3 trips to Costa Rica, 3 trips to Peru, 3 to Brazil, 3 to Ecuador, and 3 to Colombia.
Total count = 215
Crimson Topaz
Fiery Topaz
White-necked Jacobin
Black Jacobin
Saw-billed Hermit
Bronzy Hermit
Rufous-breasted Hermit
Broad-tipped Hermit
White-bearded Hermit
White-whiskered Hermit
Green Hermit
Tawny-bellied Hermit
Koepcke's Hermit
Straight-billed Hermit
Long-billed Hermit
Mexican Hermit
Long-tailed Hermit
Great-billed Hermit
Pale-bellied Hermit
Streak-throated Hermit
Little Hermit
Stripe-throated Hermit
Gray-chinned Hermit
Reddish Hermit
Planalto Hermit
Scale-throated Hermit
Green-fronted Lancebill
Blue-fronted Lancebill
White-throated Daggerbill
Hooded Visorbearer
White-vented Violetear
Sparkling Violetear
Brown Violetear
Mexican Violetear
Lesser Violetear
Horned Sungem
Purple-crowned Fairy
Black-eared Fairy
White-tailed Goldenthroat
Ruby-topaz Hummingbird
Black-throated Mango
Green-throated Mango
Green-breasted Mango
Hispaniolan Mango
Puerto Rican Mango
Green Mango
Amethyst-throated Sunangel
Gorgeted Sunangel
Tourmaline Sunangel
Purple-throated Sunangel
Wire-crested Thorntail
Black-bellied Thorntail
Green Thorntail
Tufted Coquette
Frilled Coquette
Rufous-crested Coquette
Butterfly Coquette
Festive Coquette
Black-crested Coquette
Ecuadorian Piedtail
Speckled Hummingbird
Long-tailed Sylph
Violet-tailed Sylph
Gray-bellied Comet
Ecuadorian Hillstar
Andean Hillstar
Black-tailed Trainbearer
Green-tailed Trainbearer
Purple-backed Thornbill
Rufous-capped Thornbill
Bronze-tailed Thornbill
Tyrian Metaltail
Viridian Metaltail
Coppery Metaltail
Black Metaltail
Greenish Puffleg
Glowing Puffleg
Sapphire-vented Puffleg
Golden-breasted Puffleg
Emerald-bellied Puffleg
Marvelous Spatuletail
Shining Sunbeam
White-tufted Sunbeam
Bronzy Inca
Brown Inca
Black Inca
Collared Inca
Violet-throated Starfrontlet
Rainbow Starfrontlet
Buff-winged Starfrontlet
Golden-bellied Starfrontlet
Blue-throated Starfrontlet
Mountain Velvetbreast
Sword-billed Hummingbird
Great Sapphirewing
Buff-tailed Coronet
Chestnut-breasted Coronet
Velvet-purple Coronet
White-booted Racket-tail
Peruvian Racket-tail
Rufous-booted Racket-tail
Rufous-gaped Hillstar
Green-backed Hillstar
Purple-bibbed Whitetip
Black-throated Brilliant
Gould's Jewelfront
Fawn-breasted Brilliant
Green-crowned Brilliant
Empress Brilliant
Violet-fronted Brilliant
Brazilian Ruby
Giant Hummingbird
Rivoli's Hummingbird
Talamanca Hummingbird
Long-billed Starthroat
Plain-capped Starthroat
Stripe-breasted Starthroat
Blue-throated Mountain-gem
Purple-throated Mountain-gem
White-throated Mountain-gem
Garnet-throated Hummingbird
Amethyst Woodstar
Short-tailed Woodstar
Purple-collared Woodstar
White-bellied Woodstar
Little Woodstar
Gorgeted Woodstar
Magenta-throated Woodstar
Purple-throated Woodstar
Slender Sheartail
Mexican Sheartail
Lucifer Hummingbird
Ruby-throated Hummingbird
Black-chinned Hummingbird
Vervain Hummingbird
Anna's Hummingbird
Costa's Hummingbird
Calliope Hummingbird
Rufous Hummingbird
Allen's Hummingbird
Broad-tailed Hummingbird
Bumblebee Hummingbird
Wine-throated Hummingbird
Volcano Hummingbird
Scintillant Hummingbird
Dusky Hummingbird
Hispaniolan Emerald
Broad-billed Hummingbird
Cozumel Emerald
Canivet's Emerald
Blue-tailed Emerald
Red-billed Emerald
Glittering-bellied Emerald
Garden Emerald
Western Emerald
White-eared Hummingbird
Wedge-tailed Sabrewing
Rufous Sabrewing
Violet-headed Hummingbird
Emerald-chinned Hummingbird
Antillean Crested Hummingbird
Green-crowned Plovercrest
Gray-breasted Sabrewing
Violet Sabrewing
Napo Sabrewing
White-tailed Sabrewing
Bronze-tailed Plumeleteer
White-vented Plumeleteer
Violet-capped Woodnymph
Crowned Woodnymph
Fork-tailed Woodnymph
Coppery-headed Emerald
Stripe-tailed Hummingbird
Scaly-breasted Hummingbird
Tumbes Hummingbird
Spot-throated Hummingbird
Many-spotted Hummingbird
Swallow-tailed Hummingbird
Sombre Hummingbird
Olive-spotted Hummingbird
Violet-crowned Hummingbird
Blue-vented Hummingbird
Berylline Hummingbird
Blue-tailed Hummingbird
Snowy-bellied Hummingbird
Steely-vented Hummingbird
Indigo-capped Hummingbird
Copper-rumped Hummingbird
Cinnamon Hummingbird
Buff-bellied Hummingbird
Rufous-tailed Hummingbird
Mangrove Hummingbird
Amazilia Hummingbird
Andean Emerald
Versicolored Emerald
Shining-green Hummingbird
Golden-tailed Sapphire
Sapphire-throated Hummingbird
Sapphire-bellied Hummingbird
White-chested Emerald
Plain-bellied Emerald
White-throated Hummingbird
Glittering-throated Emerald
Sapphire-spangled Emerald
Rufous-throated Sapphire
Gilded Hummingbird
White-bellied Hummingbird
Purple-chested Hummingbird
Blue-chested Hummingbird
Charming Hummingbird
White-bellied Emerald
Blue-throated Goldentail
White-chinned Sapphire
Violet-bellied Hummingbird
Blue-chinned Sapphire