Thank you all for your suggestions. Just a couple of things :
1. We want to learn for the pleasure of learning. Around the dinner table. Our daughters and us.
2. I've laughed out loud when I read the medical example. For something like this, we'd rely on google translate (I've downloaded all relevant language packs). This app is remarkably capable, but not perfect - Where is the nearest hospital? I have a fever and feel dizzy - > (Hungarian) Hol van a legközelebbi kórház? Van láz és szédül - > (back to English) Where is the nearest hospital? Do you have a fever and feel dizzy.
)
3. In my experience, most of the touring practicalities can be addressed by some simplified English + heavy dose of mime. I don't recall ever being unable to eat or find shelter in places where I don't even understand the alphabet. (I believe that fiestbob referred to China when he writes 'pivo' for beer. It's something we picked after some tribulations, although I remember it being closer to 'pijo'
).