Bakura is an educated mind.
With 5,000 or so years to kill, he finds it easy to draw to something between the bated breath of his victims. He likes to learn. He learns about the human anatomy with a live dissection or two and dead languages and ancient artifacts and technology and shadow magic and all sorts of wonderful things. Bakura learnt as well how to be a graceful actor, for when it was needed of course, he could always stoop to great lows to get what he needs.
All in all, Bakura is a sociopath wrapped up tightly in the skin of a psychopath. You would have to be, after all, to find joy in what he does. And he loves LOVES hearing the screams of his victims or the last raspy breath of an enemy or the feeling of a dying dying dead heart in his slender little hands. Bakura's heart died quite some time ago, sometimes the only time he feels alive is when he rips it from someone else. It always has been his calling card, his way of making his existence a little more tolerable.
And late at night when the sheets itch away at his skin and the burning of the ring pierces the host, he'll feel a little more human, but not for long. Because when daylight comes and he's reminded that he no longer has his own body he'll take another victim by the throat and show them what it means to feel pain like he did so long ago. There's not much to feel human about though, Bakura can barely comprehend how mortals can do it.
He could scream out loud about how cheated he feels to have been given the gift of immortality, what a curse when everyone he'd ever loved is dead. He keeps going though, fighting with a solitary purpose, and remembering he'll still be alive long after he finishes his mission.
And it will remind him time after time again even when the planet becomes a barren shell and the sun explodes and all that remains is darkness darkness darkness, that he will still be alive.