I very much prefer classic names. I've noticed that the names I like tend to be ones that've been in use for a long, long time, and have a lot of cultural meaning and history to them.
However, you do see a lot of classic names becoming trends. Sophia and Isabella come to mind--they're classic, no doubt, and have been in use for centuries; it's just that lately there's been a surge in popularity. While I do get tired of seeing these names around because they're so popular, I still like them because they're beautiful, timeless names.
I'm really just not a fan of wholly trendy names like the ones you mentioned, which also includes names spelt differently in order to look "unique" and "different". Completely made-up names are usually the worst.
(Also, this may be an unpopular opinion, but I'm not really a fan of some names that "belong" to a certain generation, like Heather, Jessica, etc.... They're not THAT classic, yet they're not really that trendy nowadays. They're just dated, and not in a timeless, classic way.)