Cool story, always liked these cars for their simplicity and toughness but there only a very few here and command a high price. In my mind similar to the Lada Niva is the VW Beetle (which we have a lot of, just don't see myself driving one) and the Trabant (never seem one in the US) ...in terms of quirkiness, yet tough in their own cute way.
The biggest problem I've found with old cars is finding parts like the rubber seals that go around the windshield or little plastic bezels or parts on the inside that are missing or broken. Mechanical parts are the easiest to find, fix, make etc.