Just for addition:
Yah what i also thought the controls are critical and not every type of game makes sense on a touch screen. I think the controls are the bread and butter, meaning a game can really stand and fall by whether it's fun to steer it or a pain, no matter how good the graphics, leveldesign or story is. But that's just general bla, bla everyone knows already.
Although sorrily I never got the change to play Blagger on the original machine, afaik i heard from it that time. A game i know which might be a little like similar is Bagitman, which was popular here, or Henrys House (i know they're vastly different in goals & maybe more boring mainstream
You know I like the Joystick way (simply said represented by a smaller ball in a bigger circle) and there's not that much alternatives, also sometimes i think they implement it just for nostalgic reasons. Compared to a real gamepad i see the problems, that you don't exactly know where your finger is as you miss haptic feedback (except vibration^), and can't see the joystick center, because it's hidden by your finger. At least to my view, it can make control harder when your finger loses track in fast game situations, a good example might be the free remake "Paradroid" i downloaded from the PlayStore.
The levels look and play fine just like the C64 Version, it's just I often slip of the joy circle in hectical shootouts against other crazed droids (because i have no time looking if my finger is still at circle center), or well I'm just not used to it or simply disturbed motorics.
I bet you can get used to this, but i imagine an alternative control method for 'maze' games like Blagger/M.M. and 360 Degrees' like Paradroid or even Platformers: Simplified it's to point anywhere on the touchscreen and your guy will move in that direction (its more like mark the target instead of moving the guy directly, think of classic point'n'click-adventures). Thus u can use preferably the screen edges for pointing at and don't hide the central action/player sprite with your fingers, while tapping gets you pixel-exact movement. Also this method has its problems like moving over long distances..
Sorry when i repeat myself (it just costs me so much effort to translate to english that I fall flat removing all the redundancy)