The user knows almost everything in existence while being blocked from certain details or being limited in other ways, possibly only being able to see one timeline or universe, or have just small patches of information that are missing or blocked out. Thus allowing one to keep their sense of free will and uncertainty.
Harry the Badger (Stinkbmob and Ketchupface); temporarily
The Living Tribunal (Marvel Comics)
Death (Supernatural) knows almost anything, but lacked the knowledge whether he is older than God or if God was older than him. He also did not know the real reason the Winchesters bound him until Dean told him so.
As the last of the Ancients, Brain (Skylanders) possesses enormous knowledge, up to the point where he locate evil doers from afar.
Dantalion (Valkyrie Crusade) knowing the past and the future, is nigh omniscient, because while she herself says:I know all, so ask me anything you want. the answers she gives are not always accurate.
Zuno (Dragon Ball) knows everything about the Seventh Universe, including the pattern on the underwear of someone he never met.
As he was being granted powerful abilities by Nyarlathotep, Jakob/Cult Leader (New Blood Interactive's DUSK) had also obtained near-limitless knowledge in the simultaneous outcome of obtaining Cosmic Telepathy alongside it.
Delphic (Marvel Comics) is granted with the gift of omniscience. It was stated that there was nothing she does not know.
Natsuki Subaru (Re:Zero − Starting Life in Another World)
Jinn (RWBY) is a being that knows everything, except the future.
The Elder God (Legacy of Kain), can see the Time-Stream, which allows him, to see at will any event of Nosgoth, whether in the past, present or future in infinite timelines. Also, being timeless, he sees everything at the same time, being Omniscient on a temporal level.