Some women go to college because they want the education. A woman who is looking for an MRS degree, though, is in college because she is looking for a husband, and college is an excellent place to find educated men who are likely to make a good salary in the future and who are still available.
These days it mostly shows up in historical fiction. If a modern woman wants to go to college just to get a man, she'll either change her mind by the end of the story because Girls Need Role Models, or she'll be presented as shallow, selfish, or simply as squandering her opportunities.
Anime and Manga
Technically this is why Nao went to Garderobe in Mai-Otome, she intended on using her Otome education to find a rich husband and live an easy life. A series of circumstances force her to become one of the Five Columns (essentially headmasters and autonomous forces of Garderobe) instead. She's unhappy about that.
Film — Live Action
In Mona Lisa Smile, Katherine complains that she thought she was educating the leaders of tomorrow, not their wives, as her students are highly capable but have no personal ambition.
In Titanic, Rose's mother says, "But the purpose of university is to find a suitable husband. Rose has already done that."
Legally Blonde has Elle going to Harvard Law School she can get back her boyfriend, who left her because she wasn't serious enough.
In The Help, Stuart Whitworth asks Skeeter, "Isn't that what all you girls from Ole Miss major in—professional husband hunting?"
In Jinx High by Mercedes Lackey, Fay Harper thinks at one point that half her female classmates are going to college for husbands rather than educations.
The episode of Sabrina the Teenage Witch titled "Inna-Gadda-Sabrina" has the main character traveling to the 1960s, where she expresses interest in a certain university (one she'd even been strongly considering in the 1990s), but the man tells her that he understands if she wants to get her MRS, but they can't let girls in.
Goodness Gracious Me had a sketch about the "Asian University", which offers a non-clinical medical degree for girls who just want to marry a doctor and don't intend to practice medicine.
The fact that the catchprase of Patricia Fernandez in Yo Soy Betty La Fea is "Yo estudiť seis semestres de Finanzas en la San Marino" ("I studied six semesters of Finance in San Marino College") suggest heavily that she had this trope in mind when she got to college. Since she begins the soap having to get a job for the very first time on her life because her husband dumped her and her family don't want to take her back, it obviously didn't take.
One episode of A Different World has Whitley confessing to Dean Hughes that when she initially came to Hillman, this trope was her plan, complete with a wedding the day after graduation and using her art history degree to pick out the right paintings to decorate the living room.
In an episode of Friends, Rachel's mother says: "I went from my father's house, to the sorority house to my husband's house."
An early Bloom County strip has sorority members who are in college to meet eligible men.
An early Doonesbury took a shot at this one too, way back when the original characters were in college.
Mike: Say, Lil, I've been meaning to ask you — what exactly do you expect out of our relationship?
Lil (dingbat girlfriend who disappeared from the strip after this episode): Oh gee, I don't know. I guess I was kind of hoping our romance would blossom into marriage.
Lil: At Magnolia College we say, "Ring by spring or your money back!"note Magnolia College was fictitious. There really was a "Magnolia Bible College" for a while, but it was founded (and disappeared again) long after this strip was written.
Mike: Really? Here we say, "You're taking the next bus back to Magnolia."
In one episode of The Simpsons, Lisa is offered a free ride to any one of the Seven Sisters Colleges, personified as college girls in a dream. "You could go to Radcliffe and meet Harvard men! Or go to Wellesley and marry them."
Margaret Morrison Carnegie School used to be located near Carnegie Tech so girls attending there could snag an engineer husband. (They are now completely fused as part of Carnegie Mellon University.) One elderly professor's favorite story in the late 90's was that when courses were cross-listed but the schools were not yet fused, a young woman asked to have her English grade changed from an 'A' to a 'B' to avoid showing up her husband-to-be (this was back in the day when grades are posted publicly).
A number of universities are finding it hard to shake the reputation that their female students are attending primarily to get an MRS degree. Such schools include Texas Tech University; Embry-Riddle Aeronautical University in Florida and Arizona, and Rose-Hulman Institute in Indiana. Others can't shake the reputation that both their male and female students attend in the hopes of finding their future spouse. Some even embrace this. Brigham Young University, for example, is well known for promoting a "marriage culture" (it's a Mormon-run institution). Mainstream Evangelical Christian colleges are also notorious for this.
Susan Patton was one of the first women to graduate from Princeton. In a letter to the "Daily Princetonian", she told female students to grab a husband while they were at Princeton because it was their best chance.
Anne Spurzem, an alumna of Smith College, wrote a letter to the school's newspaper to complain that the students attending Smith were no longer the kind who, among other things, "wore cashmere coats and pearls" and "married Amherst men." The responses from current students and more recent alumnae ranged from amusement to indignation.
Inverted in multiple news reports about "hookup culture," generally expressing the worry that college students are totally uninterested in long-term romance, preferring casual sex.