Sounds like TNG to me. Even in the original TNG series run:
Riker - Lost his mother at a very young age - has major daddy issues. So traumatized he PASSES on an offer of his own Command (The U.S.S. Drake) to serve as 1st Officer on te 1701-Devery time he's offered a command on the initial 7 year 'tour of duty', he turns it down. (3 times total).
Data - Android created by (as we know) an evil family line of scientists. Has a evil brother whom he tried to understand and change; but can't - and said brother inflicts all sorts of chaos on him and his friends.
Lt. Yar - Escapee from a colony where she was routinely raped by roving 'rape gangs'. After she escaped she joined Starfleet and became a PISS POOR security officer, always wanting to attack first - and ultimately dies in an act of sheer stupidity that showcased her incompetence.
Lt. Worf - Survivor of a Romulan attack; but rescued and raised by a Federation officer. Thinks he understands Klingon culture and tries to be the model honorable Klingon - yet because he never really lived in actual Klingon society, so he's unaware of how 'normal' Klingons act. When he finally DOES get a clearer understanding of Klingon culture; he more often takes the 'Human' way, UNLESS he's really pissed off.
Dr. Crusher - Serving under the man who brought her husbands body home and was on the mission where he died. Somehow she has a 'torch' for Picard. grew up on a colony that experienced a biological disaster where most of the colony died <-- And that's where she found an interest in medicine and started learning some things from her Grandmother, who also survived.
Wesley Cusher - (See: Dr. Crusher above
)
Counselor Troi: Did start out with much trauma per se (father died), just a domineering mother; but we do find that the mother had a pervious child (Deanna's sister) whom died in an accident the mother felt responsible for, and as a result, Deanna didn't know about that child until an incident involving her mother's health.
Lt. Cmdr. LaForge - Blind from birth; and wears device to compensate which he admits causes him terrible and constant pain when he uses it.
^^^
Yep all WELL ADJUSTED characters here...oh, wait...
