There are a couple of senses in which developers ask testers to reduce a bug. First, it's often handy to be told which values of which inputs trigger the bug. And second, sometimes the tester tries to narrow down where in the product the bug arises. I assume you are asking about the first.
Rather than asking for generally-applicable checklists, perhaps a better question would be, "How do I write a bug reduction checklist for my own product/feature?" I think this comes down to a list of dependencies and a list of strategies for varying manipulating those dependencies.
Some dependencies will be environmental, e.g. how the operating system is configured, which hardware you are using, and how your software is configured. Other dependencies will be unique to your software. If you think broadly enough, you can some up with an infinite number of dependencies, but of course you can't investigate that many. Instead, you might start with ones that have triggered bugs in the past.
In addition to the dependencies, you also need strategies for investigating those dependencies. Some strategies will be easy, e.g. if you are dependent on a browser, try using a different browser, or a different version of a browser. Other dependencies may require special measures, e.g. special software or an undocumented feature that a developer added specifically for diagnosing or debugging a problem. For example, if you are dependent on a fast network connection, you may be able to use a proxy or a hardware device that forces your network connection to run slowly.