To reiterate the consensus above, shop drawing review is a critical part of a project. It's not just busy work. It's the final chance to find an error before parts of the building will be fabricated. The review can bring to light design errors on your part (the EOR), as well as errors by others in interpreting your design. It's also a task which, ideally, wouldn't be left to somebody new at the profession, but rather an experienced engineer with a deep understanding of the project.
While it's important to make clear that your review is only for general conformance with the structural design (or whatever the current recommended wording is from a liability standpoint), I still like to review shop drawings in a rather high level of detail.
I generally don't find the task as terrible as others above, mainly because it is very important. Generally it's good practice to start with a checklist and then meticulously go through the drawings, checking as you go. For more critical items, look closer at those areas. Like the comment above noted, I try to make it a game to see how quickly I can find an error. That seems to make the boredom a little less.
You will be amazed at the errors you find as soon as you start to look close. I can't recall a single time I failed to find something of significance on a shop drawing review. Often I find significant errors! Concerning concrete in particular, on a project several years ago, I noticed that a number of prefab. concrete panels would be fabricated with the inner/outer sides reversed based on the shop drawings. I pointed this out, and yet, somehow, they still were still fabricated incorrectly and then installed backwards! Things still got messed up in this case, but I had the receipts in hand before anybody could even think about trying to pass the blame onto us.