Yippy Ka Yay
The first game "Die Hard" is basially a run and gun game. But it's not as easy as that just like the movie your litteraly playing a deadly game of hide and seek with the terrorists. You have to use more than just you gun and grenades but also your enviorment as your weapon. Execute tactical assinations, manuver, and constantly maintain stealth in order to always be one step ahead of the terrorists. They may not be too smart but their not stupid, it's their odds and positioning that work to their advantage so be careful.
Second is "Die Harder" basically a "VR Cop" like shooter. What makes this interesting is everything in the enviroment is constantly happening never really giving you enough time to relax and makes it a little harder to protect the inocent. You have various weapons, grenades that you should use only when necessary, Plus the levels go on a little longer making this shooter a little harder but fun.
Third is "Die Hard with a Vengence" basically a "Crazy Taxi" or "Chase HQ" like game. Where you simply have to drive the right direction to get to the bomb on time. This games has a frantic pace which will make you feel constantly intense just trying to get to that darn bomb on time, let alone doing the best to keep you car getting minimum damage and hiting very few inocent civilians who for some reason are always in the way.
There probably will be more different adaptions of the "Die Hard" franchise but for now this is still one of the best.