It looks like I've seen 182 out of 224 families going by Clements. Just because I wanted to procrastinate from writing a paper on natural resource law in the U.S. or make final revisions to my thesis, I added up the number of species seen per family and figured out the percentage of the total I've seen also.
1 Struthionidae (Ostrich) 100.00%
1 Dromaiidae (Emu) 100.00%
6 Tinamidae (Tinamous) 12.77%
1 Anhimidae (Screamers) 33.33%
85 Anatidae (Ducks, Geese, and Waterfowl) 51.52%
2 Megapodiidae (Megapodes) 9.52%
11 Cracidae (Guans, Chachalacas, and Curassows) 22.00%
4 Numididae (Guineafowl) 66.67%
6 Odontophoridae (New World Quail) 19.35%
54 Phasianidae (Pheasants, Grouse, and Allies) 30.51%
4 Gaviidae (Loons) 80.00%
11 Podicipedidae (Grebes) 50.00%
4 Phoenicopteridae (Flamingos) 66.67%
3 Spheniscidae (Penguins) 17.65%
5 Diomedeidae (Albatrosses) 33.33%
20 Procellariidae (Shearwaters and Petrels) 24.39%
5 Hydrobatidae (Storm-Petrels) 20.83%
2 Phaethontidae (Tropicbirds) 66.67%
13 Ciconiidae (Storks) 68.42%
4 Fregatidae (Frigatebirds) 80.00%
8 Sulidae (Boobies and Gannets) 80.00%
16 Phalacrocoracidae (Cormorants and Shags) 40.00%
4 Anhingidae (Anhingas) 100.00%
6 Pelecanidae (Pelicans) 75.00%
1 Scopidae (Hamerkop) 100.00%
45 Ardeidae (Herons, Egrets, and Bitterns) 70.31%
17 Threskiornithidae (Ibises and Spoonbills) 53.13%
6 Cathartidae (New World Vultures) 85.71%
1 Pandionidae (Osprey) 100.00%
137 Accipitridae (Hawks, Eagles, and Kites) 58.05%
1 Sagittariidae (Secretary-bird) 100.00%
40 Falconidae (Falcons and Caracaras) 61.54%
33 Rallidae (Rails, Gallinules, and Coots) 22.76%
1 Heliornithidae (Finfoots) 33.33%
1 Eurypygidae (Sunbittern) 100.00%
14 Otididae (Bustards) 53.85%
1 Aramidae (Limpkin) 100.00%
1 Psophiidae (Trumpeters) 33.33%
8 Gruidae (Cranes) 53.33%
8 Burhinidae (Thick-knees) 88.89%
37 Charadriidae (Plovers and Lapwings) 56.06%
1 Dromadidae (Crab Plover) 100.00%
6 Haematopodidae (Oystercatchers) 50.00%
6 Recurvirostridae (Stilts and Avocets) 66.67%
6 Jacanidae (Jacanas) 75.00%
55 Scolopacidae (Sandpipers and Allies) 58.51%
3 Turnicidae (Buttonquail) 18.75%
11 Glareolidae (Pratincoles and Coursers) 64.71%
1 Thinocoridae (Seedsnipes) 25.00%
1 Rostratulidae (Painted-Snipes) 33.33%
61 Laridae (Gulls, Terns, and Skimmers) 61.62%
5 Stercorariidae (Skuas and Jaegers) 71.43%
5 Alcidae (Auks, Murres, and Puffins) 20.83%
7 Pteroclidae (Sandgrouse) 43.75%
89 Columbidae (Pigeons and Doves) 27.99%
9 Cacatuidae (Cockatoos) 42.86%
72 Psittacidae (Parrots) 20.93%
18 Musophagidae (Turacos) 78.26%
1 Opisthocomidae (Hoatzin) 100.00%
54 Cuculidae (Cuckoos) 38.03%
3 Tytonidae (Barn-Owls) 20.00%
43 Strigidae (Owls) 22.51%
1 Aegothelidae (Owlet-Nightjars) 11.11%
3 Podargidae (Frogmouths) 23.08%
24 Caprimulgidae (Nightjars and allies) 25.81%
3 Nyctibiidae (Potoos) 42.86%
38 Apodidae (Swifts) 38.00%
3 Hemiprocnidae (Treeswifts) 75.00%
96 Trochilidae (Hummingbirds) 28.57%
5 Coliidae (Mousebirds) 83.33%
28 Trogonidae (Trogons) 63.64%
5 Momotidae (Motmots) 38.46%
42 Alcedinidae (Kingfishers) 45.16%
21 Meropidae (Bee-eaters) 80.77%
8 Coraciidae (Rollers) 66.67%
1 Upupidae (Hoopoes) 50.00%
6 Phoeniculidae (Woodhoopoes and Scimitar-bills) 75.00%
35 Bucerotidae (Hornbills) 61.40%
12 Bucconidae (Puffbirds) 34.29%
7 Galbulidae (Jacamars) 38.89%
29 Lybiidae (African Barbets) 70.73%
16 Megalaimidae (Asian Barbets) 55.17%
5 Capitonidae (New World Barbets) 35.71%
1 Semnornithidae (Toucan-Barbets) 50.00%
15 Ramphastidae (Toucans) 42.86%
10 Indicatoridae (Honeyguides) 58.82%
106 Picidae (Woodpeckers) 48.40%
8 Eurylaimidae (Broadbills) 50.00%
9 Pittidae (Pittas) 28.13%
69 Furnariidae (Ovenbirds and Woodcreepers) 23.39%
49 Thamnophilidae (Typical Antbirds) 22.17%
5 Formicariidae (Antthrushes) 45.45%
7 Grallariidae (Antpittas) 14.00%
2 Conopophagidae (Gnateaters) 20.00%
5 Rhinocryptidae (Tapaculos) 9.09%
1 Melanopareiidae (Crescentchests) 25.00%
112 Tyrannidae (Tyrant Flycatchers) 27.25%
18 Cotingidae (Cotingas) 27.27%
13 Pipridae (Manakins) 24.07%
14 Tityridae (Tityras and allies) 48.28%
4 Ptilonorhynchidae (Bowerbirds) 20.00%
4 Climacteridae (Australasian Treecreepers) 57.14%
8 Maluridae (Fairywrens) 29.63%
46 Meliphagidae (Honeyeaters) 25.84%
2 Pardalotidae (Pardalotes) 50.00%
19 Acanthizidae (Thornbills and Allies) 30.16%
2 Pomatostomidae (Pseudo-Babblers) 40.00%
1 Orthonychidae (Logrunners) 33.33%
1 Psophodidae (Whipbirds and Wedgebills) 20.00%
20 Platysteiridae (Wattle-eyes and Batises) 66.67%
8 Prionopidae (Helmetshrikes and Allies) 66.67%
31 Malaconotidae (Bushshrikes and Allies) 64.58%
1 Machaerirhynchidae (Boatbills) 50.00%
4 Artamidae (Woodswallows) 36.36%
8 Cracticidae (Bellmagpies and Allies) 61.54%
1 Pityriaseidae (Bristlehead) 100.00%
3 Aegithinidae (Ioras) 75.00%
27 Campephagidae (Cuckoo-shrikes) 33.33%
1 Neosittidae (Sittellas) 50.00%
10 Pachycephalidae (Whistlers and Allies) 17.86%
24 Laniidae (Shrikes) 80.00%
13 Vireonidae (Vireos) 25.00%
17 Oriolidae (Old World Orioles) 56.67%
13 Dicruridae (Drongos) 52.00%
10 Rhipiduridae (Fantails) 22.22%
20 Monarchidae (Monarch Flycatchers) 20.62%
48 Corvidae (Crows, Jays, and Magpies) 40.00%
2 Corcoracidae (White-winged Chough and Apostlebird) 100.00%
1 Paradisaeidae (Birds-of-paradise) 2.50%
9 Petroicidae (Australasian Robins) 19.15%
3 Chaetopidae (Rockjumpers) 100.00%
1 Eupetidae (Rail-babbler and Ifrita) 50.00%
2 Nicatoridae (Nicators) 66.67%
38 Alaudidae (Larks) 39.58%
51 Hirundinidae (Swallows) 61.45%
7 Stenostiridae (Fairy Flycatchers) 87.50%
30 Paridae (Chickadees and Tits) 50.85%
5 Remizidae (Penduline-Tits) 38.46%
11 Cettiidae (Bush-Warblers and Allies) 36.67%
4 Aegithalidae (Long-tailed Tits) 40.00%
10 Sittidae (Nuthatches) 41.67%
1 Tichodromidae (Wallcreeper) 100.00%
6 Certhiidae (Creepers) 75.00%
31 Troglodytidae (Wrens) 38.75%
7 Polioptilidae (Gnatcatchers) 46.67%
3 Cinclidae (Dippers) 60.00%
83 Pycnonotidae (Bulbuls) 67.48%
3 Regulidae (Kinglets) 50.00%
28 Phylloscopidae (Leaf-Warblers) 40.58%
17 Acrocephalidae (Reed-Warblers and Allies) 31.48%
14 Megaluridae (Grassbirds and Allies) 26.92%
1 Donacobiidae (Donacobius) 100.00%
87 Cisticolidae (Cisticolas and Allies) 61.70%
22 Sylviidae (Old World Warblers) 29.33%
2 Promeropidae (Sugarbirds) 100.00%
1 Irenidae (Fairy-bluebirds) 50.00%
3 Hyliotidae (Hyliotas) 75.00%
137 Muscicapidae (Old World Flycatchers) 50.55%
67 Turdidae (Thrushes and Allies) 37.02%
89 Timaliidae (Babblers) 30.90%
18 Zosteropidae (White-eyes) 15.93%
11 Mimidae (Mockingbirds and Thrashers) 32.35%
46 Sturnidae (Starlings) 39.32%
2 Buphagidae (Oxpeckers) 100.00%
7 Chloropseidae (Leafbirds) 63.64%
13 Dicaeidae (Flowerpeckers) 29.55%
76 Nectariniidae (Sunbirds and Spiderhunters) 58.02%
2 Prunellidae (Accentors) 15.38%
37 Motacillidae (Wagtails and Pipits) 56.06%
3 Bombycillidae (Waxwings) 100.00%
1 Ptilogonatidae (Silky-flycatchers) 25.00%
50 Parulidae (New World Warblers) 43.86%
1 Coerebidae (Bananaquit) 100.00%
85 Thraupidae (Tanagers and Allies) 37.95%
90 Emberizidae (Buntings, Sparrows and Allies) 28.30%
20 Cardinalidae (Cardinals and Allies) 41.67%
41 Icteridae (Troupials and Allies) 39.42%
69 Fringillidae (Siskins, Crossbills, and Allies) 32.86%
16 Passeridae (Old World Sparrows) 41.03%
65 Ploceidae (Weavers and Allies) 56.03%
69 Estrildidae (Waxbills and Allies) 49.29%
9 Viduidae (Indigobirds) 45.00%
Cheers,
Benji