Which kind of mortar and pestle replaces a blender?
As usual, Serious Eats has an article for this, covering what type of M&amp;P to buy.  They recommend a large granite model for most purposes, but an olivewood or marble one for certain special foods, like pesto.

Your question is specifically "replacing a blender", though, and "even make some soups".  An M&amp;P will never replace a blender for pureeing liquids.  First, you can't put much liquid in even the largest countertop M&amp;P, no more than a liter.  Second, M&amp;Ps do not work for pureeing liquids, but rather for grinding dry ingredients.  If you were to put a chunky soup in, and try to pound it, the soup would just splash all over the counter.  And forget trying to make frozen drinks like daquiris in one.

All is not lost, though: you can pretty much handle almost all foods if you combine an M&amp;P with a stick blender. Yes, it's still a blender, but it's smaller, quieter and more economical.  The only thing you won't be able to do is the frozen drinks.