“She was blissfully unaware of her peril.”
“Full of life and light; blissfully unaware of all the future had in store.”
“most software- or systems-development projects start out without a context diagram, blissfully unaware that they need one.”
“In their rooms, some guests read or made love, but most of them slept, blissfully unaware of the fact that their innkeepers were losing their minds.”
“She felt the burden of loneliness lift from her, unaware that she had long been wearing it's mantle.”
“Unaware that he is only interested in the presumed parched pucker in her pants, she is more than happy to give him her phone number.”