Agreed. Specifically in the 5E spell description:
1. "Your familiar acts independently of you, but it always obeys your commands." (Unlike what a typical trained animal might do under some circumstances, e.g,, when you are not bribing it with treats.)
2. "A familiar can't attack, but it can take other actions as normal."
Given that you can communicate telepathically with your familiar while it is within 100', effectively it can act in a fairly intelligent manner within that range, as you tell it what to do, and how to do it if necessary, to the extent that it is able to follow your instructions.
However, the 5E Find Familiar spell specifies that it has the same statistics as the CR 0 beast form that you choose, which implies that it is not of higher Intelligence than such an animal.
The most intelligent CR 0 animal options that I see on the 5etools website are Baboon (INT 4), Flying Monkey (INT 5), and Raven (INT 5). Of these, Flying Monkey is the best option for a somewhat intelligent familiar that can also fly, albeit 30' speed vs. 50' speed for a Raven. On the other hand, a Raven can mimic simple sounds, which may permit it to activate something by command word, unlike a Baboon or Flying Monkey.