“Ray Donovan” 10 p.m. Sunday, Showtime

Tony Soprano. Walter White. Don Draper. Now add “Ray Donovan” to the list of cable TV’s most damaged dads.

The title character in this intriguingly compelling new Showtime series is one messed-up guy. At work in L.A., he’s a fixer of sorts, making sure the errant behavior of celebrities and sports stars never makes it to the tabloids. If evidence (or people) must disappear, it’s all in the line of duty.

At home, he’s an outwardly upstanding husband and father of two, but he’s haunted by his family’s twisted roots with the Boston Irish mob.

As portrayed by Liev Schreiber, better known for his voluminous theater and film résumé, Ray is a taciturn, coiled-spring of a man, letting little of the inner turmoil in his life break through to the surface. One brother, Terry (Eddie Marsan), has Parkinson’s from taking too many blows to the head as a boxer. Another brother, Bunchy (Dash Mihok), was molested by a priest as a boy and now drifts through life in a haze, trapped in perpetual adolescence. And they’re all still grieving for a sister who committed suicide years earlier.

It’s their dad, Mickey (Jon Voight), who is the source of much of their angst, though. A career criminal who, with the help of Ray, has been behind bars in Massachusetts for 20 years but is now free, Mickey is a volatile cocktail of violence, duplicity and revenge. Voight throws himself into the role with a sinister energy, radiating a kind of creepy charisma that keeps you wondering what he’ll do next. It’s Voight’s best role in years.

While the pilot is a mixed bag — there are lots of characters to get to know and story threads to stitch together — “Ray Donovan” picks up over the course of the next three episodes as Mickey tries to ingratiate himself back into the family and Ray’s world begins to fall apart.

“Ray Donovan” attempts to delve into the psyche of men and explore the boundaries of manhood. Whether this universe evolves to become as rich and rewarding as some of those of the other troubled TV father figures remains to be seen. But it’s off to a promising start.