Your best bet is google "List of __________ games" (__________ being the console of your choice) You'll get a wiki list, and you can sort them by region. But it won't tell you if they're exclusive.
But overall Google is your friend if you don't find it there you're not going to find it.
When you say region exclusive do you mean region locked titles or just not released in region*. Region locking was a thing in the case of the xbox 360 but it was a selectable thing devs could choose which regions it worked in. http://www.abgx.net/filename/?ch=6 and http://abgx360.cc/verified.php should get you where you need to go there. Most times region locking was a thing it was a money thing so if a game was not going to come out in the other regions for a few months then people would lock it, or in the case of Japan possibly always exclude it (Japan games are a bit more expensive so they can be a bit more sensitive about having a market sliced out from under them), and then maybe any later releases would be region free (though sadly game of the year/gold edition at this point in history often just meant reissue + dlc download code). So most of the time that means a North American model is going to get you most places, however not always and there are hacks (albeit harder ones than others) to bypass it, and both Europe and Japan got some notable exclusives.
*annoyingly Australia is often counted as PAL but other times can have NTSC stuff, and in any case can get versions of things never seen in either (or censored versions where everywhere else was doing whatever).
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Or when your player dies, you can say in code, if enemy exists, do nothing, but if enemy does not exist, then create enemy at certain spot. (This would be a pain tho for lots of emeies)