As a number of other posters have noted, there are some remarkable examples of intelligence in the animal world. To brag for a moment about a fellow cephalopod’s, I saw a TV piece covering a scientific expedition to study squid. Divers had captured a few, and brought them back to the research ship where they were placed in deck-top salt water tanks with hinged lids to keep the animals from escaping.
The squids laid low for a while after being put in the tank. Then they used their tentacles to grab the tank wall and push on the hinged lid. You could see their giant eye come up to the crack produced, and peer out at the nearby deck to see if any of the crew were nearby. When they saw humans, they dropped the lid and waited a few minutes before repeating the exercise. Only when the coast was completely clear did the animals push the lid open, slither out across the deck and up over the railing to dive back into their welcome home in the ocean.
That said, there are some things where human intelligence obviously shines. We are able to conceive and manufacture incredibly sophisticated tools. Chimps use sticks to reach things, and straws to coax tasty termites out of their mounds. We build Large Hadron Colliders, Space Shuttles, Supertankers, Hubble Space Telescopes, and so forth. Human minds have an uncanny knack for language, both spoken and written. We have a powerful ability to form meaningful analogies. We have used that ability to observe the world around us, and move from a feeling that everything was magic to a growing understanding of the regularities within it, such as the motion of the celestial bodies, the changes of seasons, the way plants grow, what causes disease and so much more.
We can even share stories about how bright certain of our animal brethren are. I wonder how many animals share stories of how amazing human intelligence is.