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I use XP weather and I can allow registered users to change and set locations from a long world list in the DB as part of the mod functions. I think MS weather has a similar option. Stewdio's comment about weather is the same as mine about online games. (yawn) ...Guess that's what makes all sites a bit different. To address the original question though, There are three main contenders that I'm aware of. MSweather, VLweather and XPweather. THe real decider, other than style of display is if there are stations located in the DB for the regions you want to show. They are not all the same source feeds, some can have extra stations added and some are. apparently fixed.
Having said all that, there is also an option to provide a weather feed to your site that is NOT a XOOPS module, displayed in a block as an include or iframe.
So there's my take on it... and just like real weather here in UK ... very variable
Richard