Does someone got this OLED working? --> 128x64 Display Module SSD1306

The datasheet notet, that it would work up to 5.5V.

Where was that?
Page 47 says the maximum input voltage is 0.3 + Vdd and page 48 says the maximum Vdd can be is 3V3. However, I used the I2C interface and used a library that did not enable the pull up resistors and I added 3K3 pull ups to the 3V3 supply.

You could used a 100R resistor and a 3V1 zener between each of the arduino's outputs and the module if you wanted to do the SPI interface.