If herpes 1 & 2 are the usual herpes, are there herpes 3, 4, 5, 6, etc…, that also infect people?

Great question- 8. 8 in humans: hhv1-herpes simplex -1 (hsv1: cold sore), hhv2-herpes simplex (hsv2:genital), hhv-3:varicella zoster (vzv-chickenpox, shingles), hhv-4:epstein barr virus (ebv-mono, burkitt's, CNS lymphoma...), hhv-5:cytomegalovirus (cmv-retinitis), hhv-6: sixth disease (roseola infantum, exanthem subitum), hhv-7: like sixth disease, hhv-8:virus associated with kaposi's sarcoma, castelman's diseass.