These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Broken Base: There are many fans who think the comic's still pretty funny, and many fans who believe the strip ran out of jokes in the mid-90's and jumped the shark when Jon and Liz got hooked up.
Jon almost constantly calls Garfield fat in some of the most degrading ways possible, and it's played for laughs. Now realize that Garfield is fully sentient and can communicate in-universe.
In another strip, Jon intentionally doesn't buy Garfield kitty treats "because life's not fair." Even though it only happened in that one strip, it can still come across as a harsh thing to do to one's pet. Jim Davis must have been in a bad mood when he wrote that one.
Though Garfield has undoubtedly earned all the verbal shots, the punchline of this strip was Jon throwing Garfield through a glass window for making fun of his terrible suit. He probably got off easy thanks to Cartoon Physics, but still...
As pointed out in some of the comments, Garfield's reaction to Jon's statement here was rather mean.
"Funny Aneurysm" Moment: This strip, where Garfield says "We cats nap anywhere, anytime. Everyone should be so lucky. With the possible exception of airline pilots.". In 2011, there were many cases of airline pilots sleeping on the job and tragic accidents ensuing as a result.
Nausea Fuel: After commenting on his coffee being too weak, he dumps it into Jon's shoes. Jon then wrings it out of his socks and into Odie's dish. Odie begins lapping it up, finds that it tastes horrible, and subsequently dumps it back into the coffeepot. Garfield takes a drink and says, "Much better." Watch it adapted into Garfield and Friends in its entirety.
Never Live It Down: They only did the "we're bachelors, baby" punchline 8 times in all, but the way fans react to it, you'd think it were every other punchline in the past 5 years.
Seinfeld Is Unfunny: Garfield is one of the most popular comic strips ever and is easily quotable. And then you come to a comic and go "Oh, I know this one," and it's ruined.
Viewer Gender Confusion: Nermal, made only more confusing by his female voice actor on Garfield and Friends. The Spanish dub Did Not Do the Research and referred to Nermal as gatita (female kitten) before finally correcting it in the later seasons.
We're Still Relevant, Dammit: In the May 7, 2006 strip,◊ Garfield listens to the sound of bacon frying on an iPod. This manages to be both a parody of this trope and a straight example at once; it could've worked in the 1980s with a Walkman, or in the 1990s with a portable CD player.