Amoeba cells are still called amoeba in modern terminology. There isn't a separate, more modern name for them.

However, it's important to note that:

* Amoeba is a genus, not a species. There are many different types of amoeba.

* Amoeboid cells is a term used to describe cells that move using pseudopods, the characteristic "false feet" of amoeba. This term is broader and encompasses other types of cells that exhibit amoeboid movement, even if they aren't technically amoeba.

So, while "amoeba" remains the correct name for these cells, the term "amoeboid" can be useful when discussing their movement or when referring to cells that exhibit similar movement patterns.