Here's a summary of Russian prepositions, sorted by the case that follows them.
Nominative
| в | in (in a group) |
| за | for (in questions) |
Accusative
| в (во) | in, into, to (when movement is involved)
|
| за | behind, beyond (when movement into a position is involved) |
| на | on, on to (when movement is involved) |
| о | against (in contact with)
|
| по | up to (a certain point in space or time)
|
| под | under (when movement into a position is involved) |
| про | about, concerning |
| c | approximately, about (denotes measurement) |
| сквозь | through |
| через | across, through, over |
Genitive
| без | without |
| ввиду | in view of |
| вдоль | along |
| вместо | instead of |
| вне | outside |
| внутри | inside (position) |
| внутрь | inside (movement) |
| возле | near |
| впереди | in front of |
| вследствие | because of |
| вокруг | round |
| для | for |
| до | until, up to, before |
| из | out of |
| из-за | out from behind, because of (in a negative sense) |
| из-под | out from under |
| кроме | besides, except |
| между | between (more often with instrumental) |
| мимо | past |
| напротив | opposite |
| насчет | about, as regards |
| около | at the side of, near, around |
| от (ото) | from, away from |
| относительно | concerning |
| помимо | besides, apart from |
| после | after |
| посреди | in the middle of |
| посредством | by means of |
| подле | alongside of |
| позади | behind |
| против | against |
| путём | by means of |
| ради | for the sake of |
| с (со) | from, since, off |
| сверх | on top of, over and above |
| свыше | over, more than |
| среди | among |
| у | near, at, at the house of (like chez in French) |
Dative
| благодаря | thanks to, because of (in a positive sense) |
| вопреки | despite |
| к (ко) | towards, up to |
| по | along, round, by means (communication), on (days) |
Instrumental
| за | behind, beyond |
| между | between |
| над (надо) | over, above |
| перед (передо) | in front of, before |
| под (подо) | under, below |
| с (со) | with |
Prepositional
| в (во) | in, at (location); in time expressions |
| на | on, in, at (location) |
| о (об) | about, concerning |
| по | after, following |
| при | at the time of, in the presence of, while |