Hi,
Downloads have normally been encoded (.bin or .hqx) or compressed (.sit and others) for protection. Try to transfer the files as they are to the Macintosh Classic. You can use 1.44 MB Mac-formatted floppies for the transfers.
Once on the Macintosh Classic, you would need a decoding and decompressing utility such as StuffIt Expander 4.0.1. Here we have a problem. Unless you already have an appropriate and working version of StuffIt Expander (4.0.1), you would have to download one, and the downloaded file would require... StuffIt Expander...for the decoding. However, there is a trick. If you have access to, or could borrow, an older Windows PC with a built-in floppy drive (running something like Windows 95, 98 or XP), you may want to try this:
Prepare an empty PC-formatted 1.44 MB diskette via FORMAT A: in DOS or the "full" formatting option under Windows. Download the MACDISK.EXE file from http://rrzs42.uni-regensburg.de/Macintosh/files/macftp.html . Run this MACDISK.EXE (DOS) program on the Windows PC. Follow the instructions on screen. That automatically results in a Mac-formatted (sic!) floppy complete with software. This floppy could be moved to and used with a Macintosh Classic. The floppy contains a StuffIt Expander installer. Install the StuffIt Expander utility. Once the program is installed, you can drag the .bin, .hqx or .sit onto the StuffIt Expander icon (or open from the File menu once the utility has been launched) in order to decode and decompress files on the Macintosh Classic.
Now, .img files are different. These are disk images. If it is a file with the exact .img suffix, one can expect it to be of the new disk image format (NDIF) that requires Disk Copy 6.3.3 (https://support.apple.com/kb/DL1262). If the suffix instead is .image, it could be an older Disk Copy 4.2-style format. The latter can be handled by Disk Copy 6.3.3 as well, or by Disk Copy 4.2 (http://download.info.apple.com/Apple_Support_Area/Apple_Software_Updates/English -North_American/Macintosh/Utilities/Disk_Copy/Disk_Copy_4.2.sea.bin). Disk image files on the Internet are typically encoded, too (for example: .img.bin).
Jan