For interactions depending on charge-like quantum numbers, this is indeed true.
There are even exotic "atoms" like positronium, which consists of an electron and an anti-electron (positron) instead of, say, an electron and a proton (even though positronium has a very short lifetime).
However, there are particles that have no non-zero charge-like quantum numbers, like photons. Those are their own anti-particles. Therefore, particle and anti-particle behave the same way.
This is also true for interactions in which particle and anti-particle are different, but charge-like quantum numbers do not matter. Matter and antimatter are, for example, equally affected by gravity.
Edit: I just saw that Pran was a little bit faster.