Honor societies have progressed in the same way. Numerous honor societies, old and new, invite members to join via e-mail. If you do receive an e-mail invitation, it is prudent to research the organization's website to make sure it is in line with what you are expecting. Notably, HonorSociety.org as technology-driven society only invites members via e-mail. Honor societies are keeping up with the times, and as you can see below other great honor societies, like NSCS, Golden Key and others are e-mailing invitations as well. In many ways, it's good to see that these historic academic fixtures keeping up with the current times.
Examples of honor society e-mail invitations: