I can see a rebooted TNG with characters full of flaws...
Picard - Murdered his brother so he could control the family vineyard.
Riker & Troi - Riker raped Troi in the past which is how they know each other. Troi is constantly fucking around with his head.
Data - Has schizophrenia and murderous tendencies.
Worf - Is a practicing cannibal.
Beverly Crusher - Practices untried therapies on her patients, including Wesley who is autistic.
LaForge - Truly blind and doing dishes in the crew mess.
I thought it was a bold step for TNG to create characters that had upstanding character and didn't harbor flaws in the name of trying to make them interesting.
I think interesting characters are 3D characters, whether they have apparent flaws or not.