Is there a oil change light on a 2004 tiburon GT and if so how many miles until it trips on and how do I reset it?

http://justgivemethedamnmanual.com/?wpfb_dl=807 -- I not sure but it probably does. Here's you an on line owners manual just in case you need one. It will have the info you are looking for.

Just change it every 3000 miles and write down the mileage.

I agree with ^^^^^^^^^ but to answer your question no it does not have a oil change light, my wife has had her 04 for about 3 years now and I've never seen one nor is there mention of one in the owners manual.