A bit about strong lensing effects
Chaos' lil bro Order said:
I was wondering if its possible in theory to see a black hole without inferring them from the movements of nearby celestial bodies.
Looks like you already got some responses dealing with accretion disks, but you might also be interested to know that in principle, if you were near an isolated black hole which lacked an accretion disk, you could literally "see" a dark disk against the background of distant stars and so on. This disk doesn't quite represent the event horizon, though; rather, it is associated with the unstable circular null geodesic trajectories at [itex]r=3m[/itex].
In more detail: consider a static observer who uses his rocket engine to "hover" over a Schwarzschild hole. How does the gravitational field alter the appearance of the "night sky"? Rather drastically! Suppose the hole is in the direction of the "North pole" on the celestial sphere of our observer. Then in the Southern half, he sees primary images of all the stars, then a narrower "anulus" of secondary images, then a much narrower annulus of tertiary images, ... forming a "bright ring" around a dark disk. If stuff is falling the hole (even on the "opposite side" from his location), he can see (multiple images of) these objects as they appear to cross into the dark disk and quite suddenly redshift out of visibility.
The appearance of a Kerr hole is similar, except that the dark disk is not circular but appears a bit squashed on one side. See for example Chandrasekhar,
Mathematical Theory of Black Holes for a very detailed discussion.
There is a proposal to try to actually image the "dark disk" for the supermassive black hole (seen against background stars) at the center of the Milky Way.