You can definately find an affectionate regualar ol' domestic short hair. 
Just make sure you give him/her plenty of attention and they will love you for it! Cats though are quite independant and have more of a mind of their own than dogs. You can pretty much make a dog do what you want it to when you want it to, but a cat will only do something if it wants to. Sometimes I want to lay with my kitten but he just wants to play etc... hopefully as he gets older he will calm down.
It's hard to judge how a cat will act as an adult when it's a kitten I'd think, so you might want to look into a cat that's already a year or two old at the shelters. You'd probably have an easier time choosing a tame lap cat that way. You'd also be doing him/her quite a favor because older cats are harder to adopt and they may not have been adopted otherwise.
Just make sure you give him/her plenty of attention and they will love you for it! Cats though are quite independant and have more of a mind of their own than dogs. You can pretty much make a dog do what you want it to when you want it to, but a cat will only do something if it wants to. Sometimes I want to lay with my kitten but he just wants to play etc... hopefully as he gets older he will calm down.
It's hard to judge how a cat will act as an adult when it's a kitten I'd think, so you might want to look into a cat that's already a year or two old at the shelters. You'd probably have an easier time choosing a tame lap cat that way. You'd also be doing him/her quite a favor because older cats are harder to adopt and they may not have been adopted otherwise.
