Some of these are located at Ellis Library and in the MU LGBTQ Resource Center, and the rest can be requested from other Missouri libraries through MOBIUS:
LGBTQ recommendation and award listings:
Rainbow Book Lists Children's & YA LGBTQ award list
Foreword Adult LGBTQ award list
Goodreads Popular LGBT fiction 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
Many of these titles can be found at MU, while others can be delivered to MU from other Missouri libraries thorugh MOBIUS, 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