I used to have a scale like that...drove me bonkers!!!
After a very diligent search in stores and on line, with an even more diligent search of reviews, I went with the
Tanita BC-533. It was a little pricey (about $100), but it's the most accurate scale (digital) that I've ever owned. You can get on and off 10 times and you'll get the same reading. Amazon has it the cheapest...I think you can get the same scale now for about $70bucks.
Any which model/style you decide to go with...I'd definitely recommend going with ANY Tanita scale...they have the best track record for making reliable and accurate scales. Hope this helps.