This is not always such a general answer. The desired flags will depend on what you are trying to accomplish or what you can search for.
Perhaps you have thread problems, MiniDumpWithThreadInfo or MiniDumpWithProcessThreadData would be appropriate. If your program corrupts its data in memory, then MiniDumpWithFullMemory can be selected.
From my own applications, full memory is not always very useful - I will get what I need from PEB or TEB structures or only from stream stack traces.
Also, see the checkboxes listed in the section of the site you are attached to: http://www.debuginfo.com/articles/effminidumps2.html#strategies
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