I realise this is a very personal perspective, but I find a lot of "secular" music better for worship: Hendrix, Led Zep, Guns 'N' Roses, Soundgarden, Hybrid, She, Pendulum, and of course plenty of orchestral and ensemble music from earlier eras. This stuff stirs my soul.
I'm honestly not trying to be edgy here, and I'm well aware that this isn't going to be everyone's (or even the majority's) bag, and I'm definitely not suggesting that Christian music needs to change for my benefit (it really doesn't). That's all totally OK: it's just me saying that after 22 years of being a Christian I know who I am.