Hi Don,
I haven't used games (Hangman, Snakes and Ladders, Millionnaire...) much as I've mainly worked with adults. I know children and teenagers find these games attractive but watching them doing the games I notice most of their attention is on "winning" and winning quickly not on the process of learning, in my case, English. I have used crosswords (Hot Potatoes version) as part of sets of exercises around a text or a video. For example, Vocabulary Practice. They seem mainly useful for practicing vocabulary but my students' main problems are with pronunciation and rhythm, structural accuracy and fluency.
I think it's not only at university level that most students need a structured path - that's what teachers are for, isn't it? To help students learn faster than they would on their own. I have, just once or twice, met a person who had learnt a second or foreign language in a totally self-directed way and spoke it well. Naturally, I didn't meet them in a classroom - they didn't need one. I've also met a lot of immigrants who never had the chance to go to school to learn the language and after 20 or 30 years in the country still speak the language so badly it's a strain to talk to them.
Cheers,
Glenys