Brushless fans are pretty much standard.
Basically, brushless refers to the way that the moving motor gets power from the wires.
Ball and sleeve refer to the bearings themselves.
You can get brushless ball or sleeve bearing fans. So basically, the brushless is usually standard in fans made in the past few years.
Don't get sleeve bearing fans. Ball bearing are good; another good one is called hydro-wave bearing. It's sort of like a sleeve bearing, but with several enhancements that make them as reliable as ball bearing fans. I have some 120mm Panaflo fans that use hydro-wave bearings. Those things are powerful, but very quiet.