rai mentions watching Breaking Bad, Sopranos and Lost already. My recommendations include:
Justified - (5 seasons and only bad episode is finale). Put this one at top of your list.
Limitless - take a pill and become a genius for a day, only side effect is it can kill you and is illegal. This entertaining dramedy is funny and well written. Main character always skirts formal procedures but his heart is good and he uses the pill to fight evil. Should have won many awards.
Scandal - outrageously unrealistic drama centered on fictional White House is fun to indulge.
People of Earth - Low key comedy with unknown and flawed characters. Ever seen a funny alien, there many?
Silicon Valley - low key with a few characters showing excellent acting chops engaged in the quirky and fickle world of startups. Where things can go right or wrong in an instant. Watched this for three seasons and couldn't get enough.
Nurse Jackie - every character in this drama is interesting and the entire show is about relationships.
30 Rock - the perfect comedy where most characters are established professional comedians already.
Castle - cop dramedy doesn't take itself too seriously. With interesting crimes each week, you follow crime writer around trying to solve the mystery. You never will, just enjoy the time spent watching.