Most basic human achievement not accomplished by other animals

It’s possible to find examples of animals that aren’t afraid of fire; one would be birds that prey on insects stirred up by a brushfire.

But control of fire (including making it) is, so far as I can tell, a fundamental human achievement not exhibited by any other animal.

I think this question is going to be particularly difficult to answer, because many of our cherished abilities, like conceptual thinking, logic and language (which have all been mentioned in previous posts) are pretty hard to experimentally confirm in other animals. A lot of the debate around animal intelligence seems to come down to whether our current research methods (like the mirror test) are very biased to our own ways of seeing the world.

For example, how can we authoritatively claim to know the limits of, say, dolphin intelligence when we know so little about their behaviour, or about how an aquatic mammal experiences and reacts to its world?

I think the best answers to this are the ones to do with technology - building fires, writing etc., as for the most part, the absence of these is fairly easy to see in nature.

On a separate note, it does seem that over time, the list of attributes we consider to be uniquely human is steadily shrinking. In just the last few months alone, papers have found that the dinosaur Bambiraptor had an opposable grip, and the chimpanzee has the ability to hunt with self-made spears

Nope:

It is that simple.

seen from a lion (or other big predator)
2 humans = lunch.
2 humans waving burning torches = scared kitty.

Yup, also, they’ve recently been found using spears in this article