Agile Project management methodology has a lot of good features.
Cloud based processing can help the organization.
You can get a lot of useful information from Big Data (Previously Business Intelligence, Previously Decision Support System)
Heck, none of these are very new, other than perhaps the scale of Bug Data. Agile was new around 2000. "Cloud" was all the hype around 2007. These are proven ideas now, though as you say you have to understand them, you can't just move your systems and hope fore the best.
Hosting your email on gmail isn't going to the cloud. Or even just remotely hosting you stuff on cloud systems, isn't embracing the cloud it is just offshoring your data.
A lot of people don't get this yet, though moving all your back-end systems to be cloud-hosted is as good as you can often get with legacy systems. Though the DB servers are often the sticking point (even if you can get cloud-hosted servers that work with your software, which is wonderful when you can, you still need to get the data there, and otherwise you have to be very careful what cloud servers you try to run your own DB servers on - sometimes there's no way).
Obviously, that's a lot of work, to think through security, availability, supportability, and so on, because the solutions to each are different in the cloud. They may be easier once you're done, but it can be quite difficult indeed for admins to abandon their tried-and-true bag of tricks for an environment where they need a new bag!