It took me a good while to figure this out, since YouTube videos and such say you just have to release the spring clips below the dryer lid and then you can lift the lid. On my dryer, an Amana, it was different: I had to undo two sheet metal screws (hex-head, so I guess they're not really screws, but I don't know what else to call them) that were near the *bottom* of the front face. I had to lift the dryer up an inch or so to unscrew them because there were close to the floor and pointing somewhat down.

Once they were out, I swung out the bottom edge of the lower front panel, then gently pulled it down to release it. After that two more sheet metal screws became visible on the front of the dryer. Unscrewing those made it possible to pull the upper front panel (with the dryer door) down and out; there were also spring clips at the top of this panel (connecting it to the dryer lid), which might have needed loosening had I not already done this earlier.