There are 2 parts to be considered while selecting a color display for ESP32.

Hardware

There are various color display for hobby electronics: LCD, IPS LCD, OLED with different resolutions and different driver chips. LCD can have higher image density but OLED have better viewable angle, IPS LCD can have both. OLED have more power efficient for each light up pixel but may have burn-in problems. Color OLED operate in 14 V, it means you need a dedicate step-up circuit, but it is not a problem if you simply use with a break-out board. LCD in most case can direct operate in 3.3 V, the same operating voltage as ESP32, so you can consider not use break out board to make a slimmer product.

Software

Software support on the other side also influence your selection. You can develop ESP32 program with Arduino IDE or direct use ESP-IDF. But since ESP-IDF did not have too much display library and not much display hardware supported, so I will concentrate on Arduino display libraries only.

For the beginner, I think buying adafruit (or similar vendor) hardware and using its Arduino library can have good seamless experience (though I have no budget to try it all). TFT_eSPI library have better performance but configuration require make changes in the library folder. Ucglib and UTFT-ESP run a little bit slow but it support many hardware and it is a popular library, you can find many Arduino projects use it. LovyanGFX library start appear at 2019, it support many dev device such as M5Stack, M5StickC, TTGO T-Watch, ODROID-GO, ESP-WROVER-KIT, WioTerminal and more. I am also writing a new library called Arduino_GFX after the first release of this instructables.

Let's start our comparison from the color display in my drawer.