Think about it, as times go by, we accumulate embarrassing... experiences as we live, though not often, but we do none the less. Now, if by some odd magic/curse that we should live forever... right?
is it possible to live forever while aging? would you not just turn into a mindless formless flesh blob eventually?
Do you have a dungeon of tombs underneath your castle, is that where you keep your hordes of undead nuffians?
How can you be a proper Lich King here if you don't have a horde of undead nuffians, are you trying to slack on the job?!
Shouldn't it involve something like hordes of undead, a penchant for wanting to rule the world, and possibly a frozen kingdom?
Given the immortality and arcane mastery granted for being lich, would one really find satisfaction in achieving domination over this temporal and fleeting world?