From memory (so I may miss some), I was reading in preparation for University during my Access Course:
A Passage To India - E M Forster
One Flew Over The Cuckoos Nest - Ken Kesey
The God Of Small Things - Arundhati Roy
Trumpet - Jackie Kay
Plays
Romeo and Juliet - William Shakespeare
I think we looked at the script for One Flew Over The Cuckoos Nest too.
Poetry
I Shall Wear Purple - Jenny Joseph
Digging - Seamus Heaney
Still I Rise - Maya Angelou
The Road Not Taken - Robert Frost
Hurricane Hits England - Grace Nichols
Presents From My Aunt In Pakistan - Moniza Alvi
If - Rudyard Kipling
I Shall Paint My Nails Red - Carole Satyamurti
On the Death of Anne Bronte - Charlotte Bronte
Short Stories
The Hitchhiker - Roald Dahl
A Man Named Horse - Dorothy M Johnson
A Vendetta - Guy De Maupassant
Country Lovers - Nadine Gordimer
We were encouraged to read around all of these texts, examined things like:
Mental health care in the 50s as compared to now.
Feminism, first wave, second wave, third wave.
History from around the times of the books being written, so we looked at the 50s/60s and back at the 1800s and at a wide variety of things like what it was like to live then, to Chartism, the forming of unions, what it was like to be a woman, womans rights movements, suffragettes and suffragists, erm, right to own property, go to university, right to vote etc.
We learned about apartheid in South Africa.
We did a lot of research on Shakespeare, his history and other works.
We researched Jazz and it's origins.
Understanding the wider context of the writing was a massive focus, so it was encouraged that we looked at the issues in each book and then read around it as much as we were able to, especially reading other texts by the author. So it's not just about reading the texts that will really help you in an English degree, it's having a general understanding of history, and key authors, and definitely noticed a very strong focus on feminism and history surrounding slavery/apartheid/sexualism/racism. That might have been my English teacher, but she was amazing and she really opened up my mind to how vast and all-encompassing a subject like literature is. It is my biggest regret that I never made it to university last year, I would have loved to have been able to continue my education.