There was a problem with the CR-V, which is built on the same platform as the Civic, with the oil filter gasket. The problem was that the old oil filter left part of its rubber gasket behind, preventing a good seal on the new oil filter. Since Honda put the oil filter on the back of the engine, this could be your problem. I would also look at the oil pan seal.
Also, I have a 98 Civc DX, and I have found that using “high mileage” oil has virtually eliminated seepage and oil usage. If your problem isn’t related to the oil filter, you might give this a try.