Ecce Romani may be a good choice for you, if you're looking for a reading-based text with a less-rigorous approach to grammar. If you're looking for something more traditional, probably not.
Ancient Rome lives on in The Church
The Church "baptized" the best parts of ancient Rome and incorporated them into a new Christian Europe. The vast treasury of pagan Roman literature that we possess today, for example, would have been lost without the labor of Christian monks in their scriptoria.