I might be wrong but I believe
netorare type A just means the girl enjoys cheating and isn't being coerced into it, the mc can still be oblivious in that case.
When you say mc not oblivious you probably mean netorase? which is when the mc knows someone is taking his girl but still enjoys it.
Usually many netorare game turn into netorase midway through so maybe you just need to play a bit more?
But if your focus is netorase only you might want to check this
list that seems to order games by how much netorase they have.