They are known to memorize curbside garbage pick up routes of city vehicles and the specific days for each neighborhood, within a city. They are also quick to adapt, given a change in schedule and only visit those specific neighborhoods only on those specific days, from miles away.
Here's a video of crow performing a multi-step tool action test - a test of intelligence - for the first time, without guidance and solving it in the first attempt.
[1] Crow Intelligence - Multi-Step Tool Action Test
Crow keeps undoing the guys shoe laces so he can steal the frying pan while the guy's doing his shoe laces up. Classic.
On its own shoelaces are interesting. Pulling on the loose end may have started as curiosity.
The person then puts the pan down to tie them. Crow grabs the lace again because, again, curious and playful (birds can be incredibly mischievous), and once again the pan reappears!
Now we're in reinforcement territory.
Now don't get me wrong, the crow learns fast. But it still could be just basic reinforcement of a natural behavior, which is the same technique used to teach various animals "tricks".
But, the act of synthesizing that knowledge, applying that knowledge to a new problem, formulating a plan, and executing it... that really is incredible!