Most is said about the anti-particles annihilating their ordinary particles counterparts.
When antimatter forms anti-atoms, it is said they behave like ordinary matter.
Since atoms are more stable them their free particles, could it be possible for interaction between antimatter atoms and ordinary matter atoms be a safe thing?
Experiments use mostly "free" positrons and anti-protons. We know about how "free" electrons and protons interact with ordinary matter, and they can do a lot of "damage". But when they are together, in atoms, they become much more stable and form bonds, lattices, molecules and so. Atoms in ordinary matter does not "touch" each other particles because of the EM force. They interact yes, but a direct collision is rare thing.