I still think this is a great idea, naming yourself Generic Christian Church. "We have worship. We have Sunday School. We help those in need."
What kind of worship do you have? they ask, trying to fit you into a slot, or find some reason to reject you. "Oh, we have some singing. Some prayers. We read the scriptures. The pastor gives a lesson. You know, just regular worship."
So many churches that claim to be non-denominational are essentially soft-shell Baptist, or Christian rock concerts with audience participation. That's just denominationalism done informally. Self-selection by style and region. Or churches will make such a deal about how bad denominations are that they will become one themselves, like the Campbellites. Stealth denominationalism.
If the idea doesn't attract, what else is it that you think should be there so prominently? Reform movements that want to bring the Church back to basics often have some idiosyncratic ideas they call "basic." This is supposed to avoid that.
I thought of having a black-and-white bar code as a symbol, but that would freak out the end-times fundamentalists too much. It might improve attendance as they sent people over to keep an eye on us, but I doubt they'd put much in the plate or volunteer for stuff.