Jasmine, your plan to study literature on your own is an excellent one!
You might be surprised by how little is the time given to classic literature in universities today. There is a lot of emphasis on current literature rather than classics, and on "literary theory" rather than the masterpieces.
What
are the masterpieces?
Here is a list of masterpieces of British and American literature. You might want to save it.
complist.pdf (wcdrutgers.net)
I recommend that you sample these great authors and major works, and explore the ones that interest you most.
You can probably find all of those poems, plays, and novels online at Project Gutenberg and archive.org.
If you want
books, I strongly recommend that you buy
old literature anthologies. The most recent ones will cost more and will also contain a lot of literary theory (with strong political overtones). The old editions will cost less and have better content.
If I were setting out, then, I would likely buy the two old Norton Anthologies of American Literature and the two old Norton Anthologies of English Literature -- editions from the 1970s or 1980s. You can probably find these for sale very cheap, and they will give you thousands of pages of classic works.
If you want to study poetry, and to get a good grasp of scansion, etc., I recommend:
Poems: Wadsworth Handbook and Anthology, Second Edition, 1965, by Main and Seng. This is not a hard book, but if you study it you will end up knowing more than a lot of people with Ph.D.s in English do these days.
If you want to study medieval and Renaissance literature, I recommend C. S. Lewis's book
The Discarded Image as a good introduction.
If you want to go way back and read some Classical literature (Greek and Roman), you will find many works listed here:
(9) Greek & Latin Literary Narratives | Science Fiction & Fantasy forums (sffchronicles.com)
Also, I attach the syllabi for two courses in ancient literature. One was an introduction to Plato. The other was an introduction to the literature of Late Antiquity.