Some of these are located in the MU LGBTQ Resource Center, and the others can be requested from other Missouri libraries through MOBIUS:
LGBTQ recommendation and award listings:
Goodreads Popular LGBT fiction list
Rainbow Book Lists Children's & YA LGBTQ award list
Foreword Adult LGBTQ award list
Personal Favorites:
Black Like Us: A Century of Lesbian, Gay, and Bisexual African American Fiction - Carbado
My Most Excellent Year - Kluger
Will Grayson, Will Grayson - Green/Levithan
grl2grl - Peters
Books listed in the MERLIN catalog can be found on campus, while those listed under MOBIUS can be requested from other Missouri libraries, and will typically arrive at MU within 2-3 days.
Coming Out:
Coming Out, Coming Home: Helping Families Adjust to a Gay or Lesbian Child
Coming Out in College: The Struggle for a Queer Identity
Coming Out: An Anthology of International Gay and Lesbian Writings
Coming Out in Christianity: Religion, Identity, and Community
If you'd like more information about coming out, Planned Parenthood, GLSEN and Advocates for Youth are a few good places to start.
Family and Friends:
Friends & Family: True Stories of Gay America's Straight Allies
Out of the Ordinary: Growing up with Gay, Lesbian, and Transgendered Parents
Dealing with College and Discrimination:
Out on Fraternity Row: Personal Accounts of being Gay in a College Fraternity
Exile and Pride: Disability, Queernees, and Liberation
One More River to Cross: Black and Gay in America
It Gets Better: Coming Out, Overcoming Bullying, and Creating a Life Worth Living