Also you can use a MCU of 3.3V like an arduino due or teensy 3.2 or 3.5 or 3.6, or STM32: M4 Demo, F429ZI-Disco, Nucleo F767ZI or Core7XXI
Connect your TFT directly on SPI1.
You need this
-
FPC 20 pin 0.5 mm pitch (large: 5, 10, 12 or 15 cm)
STM32F103VE
Teensy 3.6
You can use this SD reader in parallel to SPI port of the TFT, but with a different SD-CS pin.
I recommend this wiring: pin 10 for TFT-CS and 5 for SD-CS on boards like teensy 3.X or arduino Due
For the TFT on STM32: SPI1
For the SD reader on STM32: SPI3 on F429-Disco or Nucleo F767ZI; SPI2 on M4Demo or Core7XXI