Some of you who are deeper into it may also know that these are based on the #HD44780 IC by Hitachi. They are quirky (for example, in this four-line display, the second row has a higher address than the third row) and the font is baked into the ROM of the chip. Most of the displays you can get use the A00 character set, which is clearly not designed for the European market: the upper half of the 8-bit codepage is dedicated to Japanese symbols.
However, less well-known is that on 5x8 pixel-per-character displays like these, you get 8 characters in the HD44780 RAM you can program freely.
That can be useful in some applications. I once designed a programmable remote camera shutter which would use this to display the battery level, such as seen in the photo below.
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