Many of my students like novels by Jodi Picoult. She has several title that have teenagers as the main characters. Most notable are: My Sister's Keeper, The Pact, and Seventeen Minutes. Picoult does some interesting things with multiple narrators and is known for her excellent research in preparation for the subject matter of her novels.
John Green and David Mitchell are two authors in YA Fiction whose names have recently and frequently crossed my path. Those who like one book by either of them, tend to like all of their books. They are both currently on my to-read list. I've heard they are masters of the teenage emotion, like to write stories about the underdog (or the unlikely hero), and dabble in controversial themes and topics that are relevent and interesting to teenagers.
I am a big fan of the Series of Unfortunate Events by Lemony Snicket. They are not difficult to read, but have a very tongue in cheek sense of humor and a good moral basis.
I and my students love The Twilight Series, The Kingdom Keepers Series, and The Percy Jackson Series.
Other recent favorites include Schooled, Runaway, and Wing Nut.
My teenage daughter loves novels by Laurie Halse Anderson (like Twisted, Wintergirls, and Speak). She also loved both The Hunger Games and Twilight series. Recently she began reading the Uglies series by Scott Westerfeld.
When I was a teenager I enjoyed The Lord of the Rings and A Separate Peace. You might look into some Michael Crichton novels too. He is not a writer of literature, but his books are very entertaining.
Teens, especially younger ones such as 9th graders love Sharon Draper's Tears of a Tiger (many African-American students relate to this book). This is a book that fulfills your requirements. The Giver is another novel of interest.
And, teenaged students have enjoyed Toni Morrison's Song of Solomon, whose young character Milkman interests teens. However, as a cautionary note, Morrison's work contains a few very realistic and graphic passages which can cause controversy, depending upon the school system and level of student who reads it. If it is on an approved list, there is no problem. But, otherwise, you may wish to evaluate your social and scholastic environment before choosing it.
I think that reading a memoir of someone who overcame obstacles, such as Angela's Ashes or Anne Frank's Diary of a Young Girl might be good. There are also several books with teenage main characters that you might relate to, including A Separate Peace and The Catcher in the Rye, that are not necessarily uplifting but will make you feel that your problems could be much worse!
It depends on what sort of a teen you are. A lot of teens like S.E. Hinton's books, particularly The Outsiders. Those have teens in tough circumstances as their main characters. Other teens like books like Brave New World or Fahrenheit 451 because they feel that their society oppresses and stifles them.
Neil Gaiman's The Graveyard Book would be worth looking at. It is very popular and traces a boy's growth from infancy to adolescence with the help of various supportive adults (even though some of them are dead!). The final chapter is particularly moving.
Here are some other possibilities: