I can't help in the non-comedy genres, but can for the following Funny Animal and cartoony human-figure comedy series:
(1) Ace Magazines:
"Fun Time (Giant)" needs only #2, "Monkeyshines Comics" needs only #11, and "Scream Comics" needs only #8
(2) ACG/Creston:
"Giggle/Spencer Spook", "Ha Ha/Tee Pee Tim", "Hi-Jinx Comics" and "The Kilroys" and "Cookie" are all complete. "Funny Films" needs only #29. "Moon Mullins" needs only #6.
(3) Ajax/Farrell/Four Star Publications:
"Billy Bunny", "Hi-Ho Comics", "Frisky Animals On Parade", "Madhouse", "Mighty Bear", "Spunky/Mighty Ghost/Super Spook", "Super Cat", and "Sweetie Pie" are all complete.
"Bughouse" needs only #3.
(4) Archie/MLJ:
"Fauntleroy", "Jolly Jingles", "Top-Notch Laugh/Laugh Comix", "Jackpot Comics", "Super Duck"(PD portion of Series), "Wilbur"(PD portion) are all complete.
(5) Avon Periodicals:
"Funny Tunes", and "Merry Mouse" are complete.
"Peter Rabbit" needs only #s 2 & 20, "Space Mouse/Space Comics" needs only "Space Mouse" #s 2 & 5.
(6) Better/Nedor/Standard/Pines:
"Goofy Comics", "Happy Rabbit Comics", "Jiggs & Maggie", "Dizzy Duck", Lucky Duck", "Real Funnies", "Sniffy The Pup", "Spunky", "Supermouse", "Television Comics", "Tuffy", and "Willie The Penguin" are complete.
"Happy Comics" needs only #3, "Barnyard Comics" need only #4, and #s 3, 12, & 16 missing few pages, "Buster Bunny" needs #s 8,12 & 15, "Coo Coo Comics" needs only #s 9, 55 & 60.
(7) Charlton Comics Group:
"Atomic Mouse", "Atom The Cat", "Atomic Rabbit/Atomic Bunny", "Eh!", "Funny Animals"(Charlton portion of run), "Hillbilly Comics", "Jack-In-The-Box Comics", "Li'l Genius", "Li'l Tomboy", "Timmy The Timid Ghost", "Tom Cat", and "Zoo Funnies", and "Timmy The Timid Ghost" Bluebird giveaway series, are all complete.
(8} Columbia Comics, Corp:
"Sparky Watts" and "Big Shot Comics" are complete. "Mickey Finn" needs only #s 8, 9, 14 & 15.
(9) Comic Media:
"Noodnik" needs only #s 2 & 4.
(10) Dell Comics/Western Pub:
"Andy Hardy", "Animal Comics", "Beany and Cecil", "Charlie McCarthy", "Dunc & Loo", "Fairy Tale Parade", "Gerald McBoing-Boing/Mr.Magoo", "Henry Aldrich", "Howdy Doody", "Little Scouts", "Mr. Magoo", "Rootie Kazootie", "Smitty", and "Winnie Winkle" are all complete.
"Dell Junior Treasury" needs only #s 1 & 8.
(11) D.S. Publishing:
"Elsie The Cow", and "Let's Pretend" are complete.
(12) Eastern Color Printing Co:
"Big Chief Wahoo" needs only #s 4 & 6, "Jingle Jangle Comics" is complete, except #5 is missing a few pages. "Mickey Finn" needs only #s 1 & 2.
(13) Fawcett Publications:
"Animal Fair", "Comic Comics", "Fawcett's Funny Animals"(PD portion of Series), "George Pal's Puppetoons", "Ozzie & Babs", and "Pinhead & Foodini" are all complete except for non-PD portions.
(14) Fiction House: "Toyland Comics" is complete.
(15) Fox Feature Syndicate:
"All Top Comics", "Junior Comics", "Meet Corliss Archer", "Romeo Tubbs", and "Sunny" are all complete.
"Cosmo Cat" needs only #9. "Jo-Jo Comics" needs only #13 (IF that number was issued). "Li'l Pan" needs only #8. "Ribtickler Comics" need only #s 3 & 4, plus its 1945 unnumbered Giant comic. "Krazy Life/Nutty Life/Wotalife Comics" needs only Wotalife #s 3,6-8, and 10. "Zoot Comics" needs only #4.
(16) Harvey Comics:
"Humphrey Comics", and "Nutty Comics" are complete.
"Clown Comics" needs only #s 1 & 2. "Mazie" needs only #27. "Rags Rabbit" needs only #s 11 & 16.
(17) Lev Gleason/Comic House:
"Adventures in Wonderland", "Candy Comics", "Cutie Pie", "Dilly", "Jim Dandy", "Squeeks", and "Uncle Charlie's Fables" are complete. "Cryin' Lion" needs only #s 1 & 3. "Horse Feathers" needs only #s 2 & 4.
(18) Magazine Enterprises:
"The Brain", "Ding Dong", "Little Miss Sunbeam", "Muggsy Mouse", "The Pixies/Mighty Atom & Pixies", and "Tick Tock Tales" are all complete.
"Cowboys 'N' Injuns" needs only # 6. "Dogface Dooley needs only #s 2 & 4. "Hot Dog" needs only #s 2 & 4. "Koko & Kola" needs only #s 1 & 2. "Mighty Atom" needs only #2. "Tom-Tom" needs only #3.
(19) Novelty Press: "Frisky Fables" is complete.
(20) Orbit/Wanted Publications:
"Toytown Comics" needs only #3. "Taffy Comics" needs only #s 1, 2 & 4.
(21) Parents Magazine Press: - "Calling All Kids" and "Funny Book" are complete.
(22) Prize Comics Group: - "Cool Cat", "Dudley" and "Wonderland Comics" are Complete. "Mickey Finn" needs only #1.
(23) Quality Comics:
"All Humor", "Buster Bear", "Gabby", "Hickory", and "Marmaduke Mouse" are all complete. "Hit Comics" complete, but need to replace 10+ fiche issues. "Egbert" needs only #1 upgrade(add 4 missing pages).
(24) St. John Publishing:
"Basil The Royal Cat", "Comics Revue", "Jackie Gleason", "Little Eva", and "The Three Stooges" are all complete.
"Little Audrey" needs only #1 from its PD portion. "Mopsy" needs only #7.
(25) Stanley Morse/Key Publications:
"Hector Comics", and "Peter Cottontail/Animal Adventures" are complete.
(26) Star Publications:
"Frisky Fables" needs only #s 39-41, "Frisky Animals" needs only #s 44,45,49 & 58.
(27)Toby Press/Minoan Publishing: - "Two-Bit the Wacky Woodpecker" and "Meet Merton" are complete.
(28) Ziff-Davis Publishing Co: - "Sparkie, Radio Pixie" is complete.