Any application to scan non-standard QR codes Following this question. Typical QR Codes have control squares in three of four corners of each code:



It there any application or method available for Android system to scan non-standard QR Codes? For example:


QR Code with only one, central control square (I can't provide detail about company using these, because I've seen them in dozens of places, but I've heard, that many airlines uses these):





UPS diamond-codes / MaxiCodes:




I've tested many different QR Code reading applications in Google Play, but none of them were able to scan any of these non-standard QR Codes and all of them were limited to standard QR Codes only.
NeoReader should match your specification:


  
  Scans all standard 1D and 2D code types – QR, Data Matrix, Aztec, EAN, UPC, Code 39, Code 128, PDF 417 and more!
  Automatic detection of code type
  


(emphasis mine)

As GiantTree identified one of your non-standard codes as "Aztec", this app sounds promising. It doesn't explicitly mention your other candidate, but that could be covered by "and more" (or we simply were not able to connect it with one of the other names).

I've personally never used this app, as I only need EAN (1D) and standard QR codes – so I can give no personal experience here. But again, rating (4.2) and votes (>30,000) speak for it. If you want to check some alternatives, be welcome to take a look at my list of Barcode Readers.