Fleischer Studios used this for the bulk of their cartoons house style. It was apparently a holdover from Max Fleischer's years as a newspaper cartoonist.
The cartoons of Van Beuren Studios likewise used this, but ditched it around 1934 when Burt Gillett arrived at the studio and overhauled the art direction.
The films made by UPAcodified the style as we know it today. The studio was revolutionary in its application of modern design to animation, which included bold lines and simple graphic shapes for the characters.
Hanna-Barbera had an appealing style such as this in the late '50s to early '60s. Their resurrection after several years in the wilderness in the '90s led to the renaissance of the style and its increased use in modern animated series. Their earliest shows used this style to show up well on small black and white television sets.
Dexter's Laboratory (Mainly Seasons 1 and 2, the revival was ran by CNS but the animation was still thick lined, if to a slightly lesser extent)
Samurai Jack is an inversion; while the show's character designs are very angular and blocky as is typical for the style, the thick lines themselves are absent. In fact, the art style is known for having no lines.
In the episode "The Contest", The Brain's story parodies Dexter's Laboratory and Francine and Binky's story parodies WWE. They both utilize this art style too.
Blaster's Universe is an odd variant. The animation of the characters and objects tends to have black bold outlines, but the backgrounds are so heavily vectorized and detailed that they feature no outlines whatsoever, making it seem that they don't match with the actual animation.
Blazing Dragons: Season 2 had thick lines (along with some radical changes in character design) that was a sharp contrast to the cleaner look of season 1.
ChalkZone on a few occasions. Sunwoo Entertainment did this in the show's second season as a result of inconsistency; they switched to the show's thinner outline look in season three, and Toonzone Entertainment and Yeson Entertainment gave the show thick outlines during season four (albeit colored instead of black like the show used for the first three seasons). The Oh Yeah! Cartoons short "The Amazin' River" had thicker outlines than the rest of the ChalkZone shorts (and season one), due to it being storyboard artist Bob Boyle's regular style (he later went on to work on The Fairly OddParents and created Yin Yang Yo! and Wow! Wow! Wubbzy, all three utilizing thick line animation).
Codename: Kids Next Door started out like this which is mostly used in Season 1, Season 2 has slightly thinner outlines but the lines are still visible, and by season 6, it completely thinned out.
Cyberchase followed a similar style to the abovementioned Blaster's Universe during its Nelvana-produced seasons.
Drawn Together, with its mishmash of art styles, has internet Flash parody Spanky Ham animated this way. Spanky has particularly thick lines, but most of the other characters also have outlines similar to those in the page image. The biggest exception is Princess Clara, who parodies the traditional Disney princess animation style with softer outlines ... the outlines are still there, but tend to be of a contrasting color or darker version of the fill (as with Billy's nose in the page image) rather than stark black, making them look softer.
Ed, Edd n Eddy has it along with its wobbling animation which makes it unique.
Family Guy: The pre-revival seasons had this. Although the revival did start off with this style, it was gradually phased out. By the middle of the sixth season, it was gone, especially once Digital eMation took care of the animation services.
Gravity Falls, though starting from "A Tale of Two Stans" and onward, the lines started getting thinner.
The Grim Adventures of Billy & Mandy and its sister show, Evil Con Carne. Though their later episodes (animated by Digital eMation instead of Rough Draft Korea) use colored outlines instead of black outlines.
Home Movies used a very unusual style which had unstable "wiggling" outlines (and in some cases no outline between certain objects, such as Coach McGuirk's yellow collar having no border between it and his red shirt).
Invader Zim uses this in a few episodes; Zim's antennae are noticeably thicker than usual in them.
Johnny Test: It was especially noticeable in the traditionally-animated Season 1. When the show switched to Adobe Flash in Season 2, the outlines got thinner, but still had a fair amount of thickness during close-ups. For the 2021 revival, the redesigned versions of the characters regained their original outline thickness, but now have colored outlines instead of black outlines.
The Henry and June shorts on KaBlam! (though more often in later seasons)
Kappa Mikey: Played with, where only Mikey is drawn this way; his Japanese costars have thin outlines and are Animesque.
Maisy is a prime example of this. Based on simple picture books by Lucy Cousins, the characters and objects are all black lines with generally bright, cheery colors filled in to appeal to the youngest audiences.
Mixels often uses the thick black style for characters, though some elements of them, such as electricity spikes or ice crystals, are given colored outlines, as are all the backgrounds.
The non-Rankin Bass sequels Frosty Returns and The Legend of Frosty the Snowman also have this; albeit, with Frosty Returns having a Peanuts-like artstyle (it was made by Bill Melendez Productions).
Ren & Stimpy uses it from time to time, depending on its animation studio. The episode "Egg Yolkeo/It's a Dog's Life" for example, along with the pilot episode named "Big House Blues".
The Replacements Season 1 uses this, then it's dropped by season 2.
The Simpsons had this when the show switched to digital ink and paint, though it went away in the HD episodes.
Spongebob Squarepants prior to making the switch to HD, especially during seasons 4-8
Star vs. the Forces of Evil had this during the first half of season one before the animation studio Mercury Filmworks was changed to Toon City, resulting in more thinner looking outlines. Thick lining is still noticeable, though not as much.