Remote jobs definitely make it easier for a college student, especially if they are part-time, and do give good experience for resumes.
I also agree that it is becoming much more common, but also that you do need to be careful with job postings. I always think of the expression "If it's too good to be true, it probably is." That being said, there are many jobs you can get online, full or part-time. Here are a few good websites to help you find some:
And, of course, you can search Indeed, LinkedIn and Monster by "remote jobs" to find even more.
I would suggest also focusing on what you enjoy and are skilled at, rather than simply looking for remote jobs in general. If you can find both, perfect! Just be mindful that jobs are legit.