I don't know about prepackaged programs for this (others likely will) but ...
There is a freeware option that I use for this purpose, but it takes some (not much) work on your part.
Use Sunrise XP (
http://sunrise.mobileread.com/) to download automatically web pages that summarize the information you are interested in (e.g.
http://sports.yahoo.com/mlb/standings for Major League Baseball) at an interval that seems appropriate for you.
Store the downloaded Sunrise files in a directory that you synchronize with your Axim (I use the old freeware version of MobSync to do this with my SD card; there are other free and payware ways, including using ActiveSync if you keep the files in RAM on an x50v)
Use Vade Mecum (
http://vade-mecum.sourceforge.net/) to read the downloaded files at my convenience on my Axim.
The advantage is ANY information (including the weather) can be updated in this way as long as it starts as a web page. The disadvantage is that general solutions will never work as well for a specific problem as specially tailored ones.