Related to grammar "but" (けど・が・けれども): のに・でも・しかし?

I noticed that けど relates to が and けれども, but how about other words that are not grammar points, such as でも or しかし ?

Or ones that are present like のに (which is not an exact synonym, because it’s more like “despite”, but perhaps either of their about sections could mention it since it seems like they’re both contrastive conjunctions?)