We don't have ID cards.
Not everyone has passports or driving licences.
Hence, day-to-day life doesn't require it.
You do have to be on the electoral register, though, which isn't easy without actually being the person in question.
The problem is voter "impersonation" (i.e. pretending to be someone else and using their vote) not vote "fabrication" (i.e. someone pretending to be someone who doesn't exist and getting a vote). The latter is just ripe for abuse, but the former is just a really, really, really dumb things to do that ends in jail-time.