Approval Voting or Range Voting are much simpler to explain and to execute, and they have much better properties. (And, yes, I can well believe that the Australian system can be improved up on, and doesn't present the best version of STV. There's lots wrong with Australia, so this aspect probably too. Eg, their STV system requires a valid ballot to rank all parties, making sure that every vote cast will eventually be counted for one of the major parties. The guy who came up with a hack to avoid having to choose a major party got jailed for promoting it. See https://en.wikipedia.org/wiki/Langer_vote)

Range Voting is literally the same procedure people know from figure skating competitions in the olympics: the judges (=voters) give the candidates numbers, candidate with the highest average wins.

Approval voting can be explained as: just like FPTP, but ticking multiple candidates (eg everybody but Trump or Hillary) doesn't void your ballot. (Or you can see it as a special case of Range Voting, that only allows the numbers 0 and 1. Approval voting was my favourite system to elect a single winner, until I learned about Range Voting.)

The range voting guys wrote about STV, too, see http://www.rangevoting.org/rangeVirv.html