I am a gamer, an Otaku, a sci-fi and fantasy fanboy, a Planeswalker, and an avid reader of comics, novels, and manga.
Comics in the New 52 are generally broken down into related categories, primarily in regards to solicits. The Superman category focuses on his solo/duo titles and includes Superboy and Supergirl. Generally the better stories in this category focus on overcoming obstacles that are not physical in nature. Sure, there are threats that only a "Super"hero can face, but the best stories are really more about fitting in, self discovery, and growing as individuals. Still, no one does big action like the man of steel.
The following is a listing of all titles in the New 52 that fall into this category in order of initial release and alphabetized.
For Crossovers, check out the DC beginner's guide
September 2011 – March 2015
Issues: 1–40, 0, plus 3 Annuals
Action Comics is widely believed to be the best Superman comic of the New 52, with little argument. As someone who has not read the title, I am not a superman fan, it's a little hard to write a description of the plot and/or differences between his titles.
From what I understand, the beginning of Action comics takes place before the formation of the Justice League, rehashing his origins to a degree, and then jumps to present day around issue 7. Consistently heralded for it's compelling story and, as it's name would suggest, a greater focus on Action than its counterpart title "Superman".
It also features the character Steel from time to time.
September 2011 – August 2014
Issues: 1–34, 0, plus 1 Annual
Superboy focuses primarily on Kon-El, a genetic clone of Superman grown by the villainous organization N.O.W.H.E.R.E. The title crosses over with the Teen Titans as well as taking part in the H'EL on Earth event.
Late in the series, the title switches focus to Jon Kent, the evil child of Superman and Lois Lane from the future
September 2011 – March 2015
Issues: 1–40, 0
While I am not a fan of Superman, and by extension his related titles, I love Supergirl.
The title focuses on Superman's cousin Kara Zor-El and showcases her experiences from the moment she wakes up from her stasis pod. She has to come to terms with the destruction of Krypton (which she, unlike Superman, remembers like it was yesterday). She has to deal with all the same "I'm different" issues as Clark, but without the benefit of growing up on Earth. To her, she was just on Krypton with her loved ones. Now shes on Earth, with it's strange people and customs and Krypton is just a memory. With all the resentment and rage she goes through, it's no wonder a Red Ring chooses her to become a Red Lantern for a time.
But it's not all doom and gloom. She makes a friend here and there. The Red Lanterns are good to her, and the humor she finds with them is great.
September 2011 – April 2015
Issues: 1–40, 0, plus 2 Annuals
This title has been a little rocky with its reception from fans. Often described as "good, but not great". It would seem, however, that this title fleshes out Clark Kent's supporting cast (aka the daily planet), metropolis, and Superman's "world."
June 2013 – March 2015
Issues: 1–20, plus 2 Annuals
DC's most famous Bromance, The Bat and Supe's. This title explores their very first meeting, shared adventures, and the evolution of their friendship.
June 2013 – October 2014
Released to commemorate Superman's 75th anniversary, Unchained tells an epic story delving into the mind of Clark Kent and pitting him against, as well as alongside, Earth's actual first alien hero. A being that might be even more powerful than Superman himself.
Just who is this mystery creature, codenamed Wraith? What is his connection to the Lane family? Is he really friend or foe?
October 2013 – April 2015
Issues: 1–17, plus 1 Annual
What happens when two of the most powerful beings in the DCU fall in love? Some support them. Some Hate them. Some fear their combined power. This title explores the relationship between Superman and Wonder Woman. Let's just say they're not a "dinner and a movie" kind of couple.