I have an interesting one that I see regularly with staff meetings.
In a meeting, what will often happen is that the Ti-users will want to dive deep into a topic, get all of the pros and cons on the table and eventually reach a decision (usually one that everyone agrees on, but that's the Fe talking of course). The Te-users often think the meetings are a waste of time because people just keep on repeating the same things and everyone should have realized after 1 minute what the correct solution was instead of going over it for half an hour.
This is something that I see come up a lot. The Te-users complaining that it's taking too long (not efficient) and the Ti-users complaining that they're the ones doing all the work during the meetings and that the Te-users aren't cooperating.
There's a very common tension between these functions where Ti wants it done correctly and Te wants it to be done efficiently. You need very good communication if you want this kind of thing to work out.