OK, so my two pence worth as someone that was a checker for a few years - trying to dumb it down to a checklist rather than relying on cognizance of a really experienced checker who is familiar with the relevant industry standards and practices etc. will limit the effectiveness of the checking process.
For instance, you probably want the drawings to fully comply with BS8888, which is several binders long as I recall. How on earth to you condense that to a checklist of usable length? If you leave it vague then what's the benefit of the check list, if you try to be specific it gets really long really fast.
Sure, you could try to limit the checklist to just the high profile errors and high occurrence rate mistakes but then danger is your checker only checks to the checklist and doesn't think about everything not explicitly on there.
I & others have posted at length on this & related subjects, suggest you do a search on relevant terms, quick search in just this forum for 'drawing check' got me the below in just the first few hits.
thread1103-151962
thread1103-193286
thread1103-167827
thread1103-190456
Gary Whitmire of the Drafting Zone had a pretty good definition and list of things to check etc. online at one point - I think a link may be in one of those threads or you may be able to find it online.
(BTW use the search in the silver tool bar near top of the page, not the custom google search at the very top.)
Posting guidelines faq731-376 (probably not aimed specifically at you)
What is Engineering anyway: faq1088-1484