I have been associated with various consulting firms and was part of various Adobe experience manager implementations. Here are the details industry wise AEM usage & use case -
Healthcare - My current client is using AEM mainly for content authoring, publishing, multisite management. Integration with analytics, search, test & target. Adobe campaign is being explored, how it can be used with AEM. AEM is replacing current implementation for a few departments that is on Teamsite but fa ew other departments are considering Sitecore as well because they have .Net experts there.
Telecom - Used mainly for authoring and publishing. Didn't use livecopy, workflows except OOTB. Integrated AEM with commerce, search & promote, adobe analytics. Didn't use translation through AEM but it was outsourced to another translation company, they used to translate site on daily basis and host on a different domain.
Banking - Used almost all the features provided by the AEM for example multisite, livecopy, workflows, reports. integration with translation engine, analytics and test & target. It was a content heavy site having big DAM asset collection. Daily jobs used to run to keep all the content and DAM in sync with another system.