What Options Are Available For Viewing the LogCat?
A good starting point is a Google search on "adb logcat filter", which yields interesting results already on its first page. Including the logcat help page from the Android project itself, which lists quite detailed options. Especially follow up to the Reading and writing logs link, where filtering options are explained.

The basic syntax is specified as

[adb] logcat [&lt;option&gt;] ... [&lt;filter-spec&gt;] ...


Interesting options include to write the output to a file (-f &lt;filename&gt;) and using human-readable timestamps (-v time). The filtering example given should get you started on the second part:

adb logcat ActivityManager:I MyApp:D *:S


In short terms: Show all Info messages from ActivityManager, Debug messages from MyApp, and Silence everything else.

As long as you're completely out of ideas what exactly you're looking for, you might at least have some ideas on what you are not looking for, and could use something like GamesApp:S FunnyApp:S MoreApp:S [...] to filter out stuff which is definitely not of interest. So your command could look like

adb logcat -f special.log -v time GamesApp:S FunnyApp:S MoreApp:S


When you have excluded the impossible, whatever remains, however improbable, must be the truth. – Arthur Conan Doyle: The Adventure of the Beryl Coronet (Sherlock Holmes)