I've never really thought much about [distributivity of limits and colimits](https://ncatlab.org/nlab/show/distributivity+of+limits+over+colimits) -- I tend to think more about [commutativity of limits and colimits](https://ncatlab.org/nlab/show/commutativity+of+limits+and+colimits). [This question](https://mathoverflow.net/questions/383186/commutation-of-limits-and-colimits-is-there-a-choice-diagram) makes me want to change that.

The question of [which limits commute with which colimits in the category of sets](https://mathoverflow.net/questions/93262/which-colimits-commute-with-which-limits-in-the-category-of-sets?) has a complicated answer, but important special cases which are not so complicated. This leads to the title question:

**Question:** 

1. Which limits distribute over which colimits in the 1-category $Set$?

2. Which limits distribute over which colimits in the $\infty$-category $Spaces$?

Is it complicated like with commutativity? Or is it maybe simpler? If it's complicated, are there good simplifying assumptions one can make?