The characters I like have a nasty habit of dying - I haven't read the books, but I watch the show, so I've given my predictions for future adherents to that rule - and those I dislike seem to be immortal.
Deceased
Ned Stark (was perhaps a given)
The Night's Watch recruiter
The Night's Watch commander
Presumably to be deceased
The Hound
Tywin Lannister
Tyrion
Tyrion's friend Bronn
Prince Oberyn
Jamie Lannister
Sir Barristan
Contractually immortal by virtue of my dislike
The Queen
Sansa Stark
The old Meister at court
Deceased
Ned Stark (was perhaps a given)
The Night's Watch recruiter
The Night's Watch commander
Presumably to be deceased
The Hound
Tywin Lannister
Tyrion
Tyrion's friend Bronn
Prince Oberyn
Jamie Lannister
Sir Barristan
Contractually immortal by virtue of my dislike
The Queen
Sansa Stark
The old Meister at court