I know that there's a lot more than this, but these are just the ones that I thought of off the top of my head.
- 1-Rover-1 "Battle of the Planets"
- Ace the Bat-Hound
- Andy "Peanuts"
- Apollo "Magnum, P.I."
- Asta "The Thin Man"
- Astro "The Jetsons"
- Augie Doggy
- Bandit I "Jonny Quest"
- Bandit II "WE3"
- BAndit III "Descender"
- Barf "Spaceballs"
- Barfy "Family Circus"
- Barnyard Dawg "Looney Tunes"
- Basil "Hercules Unbound"
- Bay "Dragon Ball Z"
- Beauregard Bugleboy "Pogo"
- Beegle Beagle "The Great Grape Ape"
- Beethoven
- Belle "Peanuts"
- Benji
- Betty "Will Trent"
- Bimbo "Betty Boop"
- Blitz I "C.O.P.S."
- Blitz II "Road Rovers"
- Blood "A Boy and His Dog"
- Blue "Blue's Clues"
- Bodger "The Incredible Journey"
- Bolt
- Brain "Inspector Gadget"
- Brian Griffin "Family Guy"
- Brutus "The Ugly Dachshund"
- Buck "The Call of the Wild"
- Buck Bundy
- Buddy "Air Bud"
- Bull "Lady and the Tramp"
- Bull Dog "Space Canine Patrol Agents"
- Bullet I "Barney Google and Snuffy Smith"
- Bullet II "The Roy Rogers Show"
- Bulletdog (Slug)
- Bullseye "Oliver Twist"
- C.A.P. "G.I. Robot"
- Cerberus "Mythology"
- Chameleon Collie "Space Canine Patrol Agents"
- Charlie B. Barkin "All Dogs Go To Heaven"
- Chase "Paw Patrol"
- Cherry '"Lucky Star"
- Chiffon "The Shaggy Dog"
- Clifford the Big Red Dog
- Colleen "Road Rovers"
- Courage the Cowardly Dog
- Cujo
- Daisy "Blondie"
- Dawg "Hi and Lois"
- Deputy Dawg
- Destructo "Superboy"
- Dixie "For Better or For Worse"
- Doctor Canus "Kamandi"
- Dodger "Oliver & Company"
- Dog I "Jim Henson's The StoryTeller"
- Dog II "The Walking Dead"
- Dogbert
- Dogmatix "The Adventures of Asterix the Gaul"
- Doggy Daddy
- Dribble "WarioWare"
- Dribbles "The Harlem Globertrotters"
- Droopy
- The "Duck Hunt" Dog
- Duke "The Beverly Hillbillies"
- Dum Dum "Touché Turtle and Dum Dum"
- Dynomutt
- Earl "Mutts"
- Eddie "Frasier"
- Edgar "For Better or For Worse"
- Ella "Paw Patrol"
- Elmo the Wonder Dog "Doll Man"
- Everest "Paw Patrol"
- Exile "Road Rovers"
- Fang I "The Fellowship of the Ring"
- Fang II "Get Smart"
- Fang III "Harry Potter"
- Farley "For Better or For Worse"
- Fleagle "The Banana Splits"
- Fluffy "Harry Potter"
- Fred Basset
- Fuji "The Osmonds"
- Garm "Mythology"
- Gnasher "Dennis the Menace" (U.K.)
- Gnipper "Dennis the Menace" (U.K.)
- Goliath I "Davey and Goliath"
- Goliath II "Samson & Goliath"
- Goober "Goober and the Ghost Chasers"
- Goofy
- Grimm "Mother Goose & Grimm"
- Grip "The Fellowship of the Ring"
- Gromit "Wallace and Gromit"
- Hobo "The Littlest Hobo"
- Hong Kong Phooey (Penrod Pooch)
- Hot Dog I "The Archies"
- Hot Dog II "Space Canine Patrol Agents"
- The Hound of the Baskervilles
- Huckleberry Hound
- Hunter "Road Rovers"
- Jock "Lady and the Tramp"
- Joe "Run, Joe, Run"
- Junkyard "G.I. Joe"
- K-9 "Doctor Who"
- Kemlo Caesar
- Kojak "The Stand"
- Krypto (Skip)
- Lady "Lady and the Tramp"
- Laelaps "Canis Major"
- Lassie
- Lockjaw
- Luath "The Incredible Journey"
- Maera "Canis Minor{"
- Mammoth Miss "Space Canine Patrol Agents"
- Mammoth Mutt "Space Canine Patrol Agents"
- Marbles "Peanuts"
- Marmaduke
- Marshall "Paw Patrol"
- The Master's Dog "Manos - The Hands of Fate"
- Max "How The Grinch Stole Christmas"
- Maximillian "The Bionic Woman"
- McGruff the Crime Dog
- Menchi "Excel Saga"
- Milo "The Mask"
- Mister Cool "The Fonz and the Happy Days Gang"
- Mister Peabody "Rocky and His Friends"
- Mister Tadakichi "Azumanga Daioh"
- Mop Top "The Brady Kids"
- Ms. Lion
- Murray "Mad About You"
- Muttley
- Nana "Peter Pan"
- Nummymuffincoocolbutter "Mystery Science Theater 3000"
- Odie
- Officer Bull Pup "Krazy Kat"
- Olaf "Peanuts"
- Old Yeller
- Orbit "Partridge Family 2200 A.D."
- Order "G.I. Joe"
- Otis "The Adventures of Milo and Otis"
- Otto "Beetle Bailey"
- Paw Pooch "Space Canine Patrol Agents"
- Peg "Lady and the Tramp"
- Peppy "Manos - The Hands of Fate"
- Perdita "One Hundred and One Dalmatians"
- Pete the Pup "The Little Rascals"
- Phantom "Watchmen"
- Pizza Dog (Lucky)
- Pluto
- Pongo "One Hundred and One Dalmatians"
- Pooch "The Losers"
- Poochie "The Simpsons"
- Porthos "Star Trek: Enterprise"
- Prophetic Pup "Space Canine Patrol Agents"
- Radar :Supreme"
- Rang-a-Tang
- Rantanplan "Lucky Luke"
- Reddy "Ruff and Reddy"
- Ren Hoek "Ren and Stimpy"
- Rex I "Hudson & Rex"
- Rex II "Paw Patrol"
- Rex the Wonder Dog
- Rin Tin Tin
- Robbie the Robot Dog "Robotman"
- Rocky "Paw Patrol"
- Rosebud the Basselope "Bloom County"
- Rover "Red and Rover"
- Rowlf "The Muppets"
- Rubble "Paw Patrol"
- Ruff "Dennis the Menace" (U.S.)
- Saint "Tomb of Dracula"
- Sam "Family Circus"
- Sam Sheepdog "Looney Tunes"
- Sandy "Little Orphan Annie"
- Santa's Little Helper
- Sassafras "Defenders"
- Satchel "Get Fuzzy"
- Savage Sam "Old Yeller"
- Scamp "Lady and the Tramp"
- Scooby-Doo
- Scooby-Dum
- Scrappy-Doo
- Scraps I "Airplane!"
- Scraps II "The Corpse Bride"
- Sea Dog "Cap'n Crunch"
- Shadow "Warlord"
- Shag "Road Rovers"
- Sherdog "Sherlock Bones"
- Skye "Paw Patrol"
- Slinky Dog "Toy Story"
- Snert "Hagar the Horrible"
- Snoopy "Peanuts"
- Snowy "The Adventures of Tintin"
- Spike I "Tom and Jerry"
- Spike II "Peanuts"
- Streak the Wonder Dog "Green Lantern"
- Superpup (Bark Bent)
- Sweep "Sooty and Sweep"
- Sweet Polly Purebred "Underdog"
- Tail Terrier "Space Canine Patrol Agents"
- Thor "Manhunter"
- Tige "Buster Brown"
- Tiger "The Brady Bunch"
- Toby "The Sign of the Four"
- Toto "The Wizard of Oz"
- Tracker "Paw Patrol"
- Tramp I "Lady and the Tramp"
- tramp II "My Three Sons"
- Trusty "Lady and the Tramp"
- Tuck "Paw Patrol"
- Tusky Husky "Space Canine Patrol Agents"
- Tyke "Tom and Jerry"
- Underdog (Shoeshine Boy)
- Weederman "Mr. Boffo"
- Wimper "Clue Club"
- Wolf "The Fellowship of the Ring"
- Wonder Dog "SuperFriends"
- Woofer "Clue Club"
- Yankee Poodle (Rova Barkitt)
- Yukk
- Yukon King
- Zero "The Nightmare Before Christmas"
- Zeus "Magnum, P.I."
- Zuma "Paw Patrol"
Replies
In For Better or For Worse, the Pattersons had a third dog, Dixie. From Wikipedia: "Originally Grandpa Jim's dog, Elly takes her in after he moves into a senior residence. Dixie still misses Grandpa Jim, but has settled down into the Patterson home, taking the role as Edgar's devout follower – wherever he goes, whatever he does, she copies."
Forgot about Dixie. Will add.
...and let us not forget the Bumpstead's dog, Daisy.
Good one. Will add.
...or Barfy and Sam from Family Circus.
Good ones. Will add.
...or Ruff from Dennis the Menace.
Good one. Will add.
...or Odie from Garfield.
Already on the list.
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