I much prefer the good old flat design over skeuomorphism type ones. Even if I'm designing my own website, I always go with flat.
But also for viewing and visiting websites, it's my favorite choice because it's:
- trendy,
- clean,
- simple,
- easy to use,
- and tends to have much faster loading times.
It is always down to your own personal choice on what design you use for your websites but I think that the large majority still prefer the flat one so it's better to go with that.