It requires 3.3V logic on the TFT.
The SD requires 3.3V too. Many SDs tolerate 5V logic but those resistors are in there for SD protection.
My theory about Chinese displays on Ebay is that most Asian users might be using 8051 style controllers.
Even though these 8051s might be on 5V, the GPIO outputs are not push-pull. So the 3.3V TFT controllers "survive".
In contrast, Adafruit design their hardware for 5V compatibility.
I would be 100% confident that your Blue ST7735 will work fine with 3.3V logic. (if it has not been permanently damaged by a 5V AVR)
Yes, there are many different makes of 132x162 TFT controller. e.g. Sitronix, Ilitek, Himax, Raydium, ...
I would read the Manufacturer ID before using any random library.
David.