I use Uber all the time. I'd say 1/3 of the time I get solicited to try a rival service or I get a business card for the driver's home service (whichever company they are from). But whenever I have issues with a driver, Uber always sides with me within a few hours and all I need to get a refund is replying to the e-mail receipt.
Rather than trying to be exactly like Uber, competitors ought to introduce something to differentiate themselves. Countering the surge pricing model and having more flat rates for the people who live far away could be a start. Being able to enter a destination in advance might help newer drivers too.