the difference between Tiger Woods 2003 and Tiger Woods 2004 is very marginal, not much changed. so if you're in the market for a new golf title, Links 2004 is just the ticket. both games are similar, with Links taking a slightly more conservative approach. Links' career mode is well-done and will take some time to complete and rise through all of the different levels. each tour level has a nice array of different tasks that must be finished before progression to the next level is obtained, which bodes well for the long-term aspects.
on the links, you'll find putting is a more pleasant experience with Links 2004 than TW. not that it's easy, or completely aggravation-free, but certainly easier to deal with. the actual tee-shots and fairway drives are easy and take the least time to master. control-wise, you really need to get good at Links to have the feeling that you are "in control." it's easy in TW to aim with precision, whereas Links can be challenging if you're trying to judge distance. and the meter moves very quickly, forcing you to improve or die trying. unfortunately, the audio commentary in Links is horribly fractured and robotic-sounding. it has become a running joke of every matchup a friend and I have (Sam... putts for... EAGLE...) how they expected that level of incongruous commentary to not come off as a really laughable joke is beyond me. but the condescending repetition of TW isn't much better.
being a Tiger Woods vet in the market for something different made the choice easy for me, and the many XBox Live compatible features might sway you in favor of Links also. but for those who have never played Tiger Woods, it might be a tough choice. you really can't go wrong with either.