Also known as Tetsudou-Oh, Railroad Baron is a board game, that's definitely in the same genre as Monopoly, with a little bit of Ticket to Ride thrown in, too. The aim the the game is to move your train around Europe by rolling the dice, making money as you go. Each player get randomly assigned a destination at the start of the game, then again whenever they reach a destination. When one player has finished a certain number of journeys (the default is seven), or when one of the players runs out of money, the game ends and scores are totted up.
The scores are based on how much money you have at the end of the game, how many stations you control (you control a station if you were the last player to pass through it) and how many railways you own (if you control two adjacent stations, then you can choose to buy the railway between them). If the game ends because of a player going bankrupt, that player automatically scores zero.
Each railway is made up of three empty spaces of track between stations, and it costs money to move over them. But if you own the track that another player is moving over, that money comes to you. So, be strategic with the railways you buy, and you'll probably win. There is another element of chaos, though: after each move where you don't reach your destination, a random event occurs. You might win the lottery, get to bet on a horse race, or have some railways blocked off for a ew turns by an earthquake. You might even be given a free railway! Most annoying of all, you might get teleported to another part of the map, or have your destination changed at random.
Anyway, that's an explantion of how Railroad Baron plays, but is it actually any good? Eh, it depends. The split between luck and strategy is about 75/25 in luck's favour, which isn't great. I don't expect you to be able to subject any other human players, but the CPU players are decent enough: they aren't the telepathic superplayers that you might find in a lot of tabletop-themed videogames, but they do act like they're trying to win rather than acting totally randomly, too. Basically, if you have some way of playing this on a handheld, whether through emulation or a handheld Famiclone, it's not a terrible way to keep your hands busy through thirty-to-fourty minutes of TV watching.