You can't go wrong with Periphery. If you don't want death metal, it will make some suggestions difficult because a lot of the more experimental progressive bands have those vocals. Even Periphery.
I'll start off with a suggestion that is tried, but true.
Animals As Leaders - CAFO
If you like that, here's some more bands. There's lots of variety here, so if you're don't like the first band, don't write the rest off. Give 'em a listen.
Omnium Gatherum - The Return
Eternal Tears of Sorrow - Lost Rune of Thunder
GRU - Pulsar
The Algorithm - Access Denied
3 Inches of Blood - Revenge is a Vulture
Light This City - The Unwelcome Savior
Galneryus - Alsatia
Sylosis - Empyreal
Darkest Hour - With A Thousand Words To Say But One
The Browning - Time Will Tell
Monuments - Doxa
After the Burial - Aspirations
Born of Osiris - Follow the Signs
Arsis - Face of My Innocence
Eluveitie - Lugdunon
If you want more, just ask.