Links 2004 is a great golf game.
My favorite thing about this game is that unlike Tiger Woods it actually has a cool putting game where you actually really aim manually and swing your club (rather than just estimate the caddy tip distances on the screen). The putting game is tense, exciting and all around a huge part of the fun of this game, which is something that is lacking in Tiger Woods' terrible putting interface. The high resolution courses are great too, though they are not as plentiful and varied as the course selection in Tiger Woods. I have to say that after having played both Tiger Woods and Links extensively, I have grown to prefer Links' swing system, especially on the green. In Links once you hit the ball you don't have control over it, as in real golf. I prefer commiting to your swing and watching the results unfold (as Links does it) but some players will definitely prefer controlling the spin in the air as in Tiger Woods. In Links you can still apply spin but you determine it at swing time.
Unfortunately the player models in this game do not look very good, especially when compared to the fantastic modeling/texturing (especially in the face) found in Tiger Woods. Also, the sand traps are ridiculous. They act as totally hard surfaces with a flat sand skin applied to them. I've even bounced balls two to three times across a trap and then rolled out! Between that and the poor character models I chipped a star of my rating for what is otherwise an outstanding golf game. If they keep working hard on this game it could easily eclipse Tiger Woods in quality in future versions, especially if EA gets lazy and doesn't evolve their game (see the last 3 years of Madden vs ESPN Football).