For the National Tier:
I love The Weather Channel's 1998-2001 graphics/music package before their "Live By It" revamp, especially the "Weather Center PM" one.
I think the only package that stands out in the 2001-2005 era was "Evening Edition". Actually sounds like a weather bulletin.
I also love hearing the 2004-current music package on ABC's overnight show "World News Now". (See the first 7 seconds and the last 20 seconds of this news story video)
_______________________________________________________________
As for the local packages, it's mostly "The Spirit of Texas" news music/graphic packages on WFAA-TV.