My friends and I just got into Catan and it's really great. We used to play a ton of FIFA and Madden when we were together, now it's always "who wants to settle?". It really is a great game because it can't be completely beaten like Monopoly can and there is no best strategy that we've found. I play totally differently than my friends and we all win sometimes. I also love the social aspects of trading and the robber.…
A lot of people never think to do things like: - Pay the robber to rob someone else - Ask the robber what card he wants to take from you, and if it's something you're willing to give up just show him which card it is in your hand - Trade away all of a scarce resource you have, then use the monopoly card to get them back, then trade them away again - Paying someone to build roads to cut someone else off - Paying to "rent" someone's port for a turn to get a better exchange rate
We like to use a house rule that requires all trades to "clear" within a turn (ie no arguments over enforceable/conflicting trades taking place on future turns).