How can I get acube effect app drawer on ICS or JB? This is how my CM7 running phone looks like (although I got the screenshot from somewhere): Is there a similar effect launcher for ICS or JB?
The drawer and its animation effects are part of the Launcher (a.k.a. Home) app.  Stock Launcher in AOSP (Android Open Source Project), which CM and many other custom ROMs are based on, hasn't included this particular effect since Honeycomb (Android 3.x).

You can most probably find the app drawer's "cube" scrolling effect in 3rd-party Launcher replacement apps.  I would start looking at Google Play store for various Launcher apps (e.g. Apex Launcher, AWD.Launcher, etc.)