Please, define variety. I pretty much can change my strategy at any moment. I can go for religions or ignore them, I can try lots of culture and policies or just go for technology or a mix. I can turtle with 3 cities or expand to my neighbours door. I can go for my enemies cities or just raid them. I may remove every barb camp or let them come. I can spend my great people or let them improve tiles, any time. Tell us what do you feel not having variety. Maybe there is, but you cannot see it.