Android lossles jpg cropping app without reencoding quality-losses
Loss Less Cropping and Image Rotation: Remove unwanted parts of jpg photo without quality loss.
While there are many apps capable of cropping images (often with additional features), they generally cause quality loss because they re-encode to JPEG again when saving the output file.
LLCrop (the "LL" stands for lossless) can crop JPEG images without quality loss because it crops the raw JPEG image without re-encoding the file. It also preserves embedded metadata (EXIF/IPTC and XMP).
Simply load a JPEG image from the in-app image browser, adjust the rectangular selection, rotate it if necessary and save it as a new image file.
Note: This app is focused on lossless JPEG image manipulation, so issues that propose additional features (e.g. support for other file formats, add resize-support or adding text to images) are out of scope.