Here’s a snapshot answer with regard to graduate schools. Amherst graduates less than 450 students a year, and perhaps a few dozen go to law school each year. Yale Law School is the best law school in the country. Amherst currently has 18 of its graduates at Yale Law School.
To put that in perspective, that numbber is as much or more than several Ivies (even though the Ivies all are several times larger). On a per capita basis, Amherst currently has more people at Yale Law than any school in the nation other than Yale and Harvard. Heck, Amherst has more people at Yale Law than the entire Southeastern Conference, which has over 400,000 enrolled students.
Likewise, Middlebury and Bowdoin do very well with graduate school admissions - perhaps not quite as well as Amherst and Williams, but very well indeed. Graduate school admissions are a huge strength for the top LACs, even compared to the Ivies.