Bill of material

From the functionalities, we can deduce the bill of materials

What I need

4 Bargraphs (for the oxygen, rocket fuel and spaceship levels)
7 blocks of four 7-segment displays (2 for the countdown, speed, position, altitude, pitch and roll). See doc on the TM1637 and TM1638 for details.
some leds (start (green), manual command (green), lights (green x2), electricity (green x2), turbo (blue x2)).
20 multicolor (RGB) leds (1 per push button + leds in panel display (oxygen, doors x2, electricity, automatic pilot, alarm, takeoff, orbit, landing, overspeed). See this for details.
4 10k\omega potentiometers (one online for the engine power, and 3 rotary for the audio, pitch and roll)

1 raspberry pi (I have Pi3, but Pi2 should be ok. Pi Zero is ok, but cannot be used in game mode IMHO)
1 micro-controllers for the WS812b-like leds and other IOs: I choose an AVR ATtiny88 (because I had it in stock). See this to understand why this one, and how I program it directly with the Raspberry Pi.

10 2-position switches (laser, automatic pilot, lights (x2), electricity (x3), turbo (x2), computer)
4 3-position switches (doors, pumps (x2), audio)
8 push buttons with led (brake, parachute, landing gear, laser, engines x2, unhook spaceship)
1 big red push button with led (go button)
1 on/off switch with key (start)
2 rotary switch band selector, 4 Poles 3 Positions (start mode, flight mode)
4 rocket-switch (takeoff phases x3, laser)
joystick

I do not specially recommand these shops, the links are just here to give you full description of what I bought.

a 7-inch touch screen LCD (7-inch 800x480 HDMI LCD (B) from waveshare): 52€ at amazon
5 rocket switches: 9.66€ for 5 of them
4 boards with 8 7-segment displays (with a TM1638 led-and-buttons driver): 2.50€ each
1 giant push-button with led (60mm): 1.6€
10 toggle switches: 2.6€
10 square push-button (32mm, transparent): around 1€ each or here (same price, but it took time to send the command)
some green/red/yellow/white/blue leds (2.5€)
A game arcade joystick (numeric, not analogic): 5.3€
some LED holders to mount them: 1.3€
a 10k\Omega slide potentiometer: 1.4€
Some bargraphs (0.85€ each)
A “hat” board for the raspberry (it will not be a real hat, because I will not put any eeprom): 2.86€
some screw connectors: 1.80€ for 20
gaming headphone: 2€ (low quality, but very cheap… the right price for how it will be used)
key switch: 0.85€
pack of 50 RGB leds APA106 (a clone of the NeoPixels WS2812b), 5mm LEDs: 11.5€
10 3-position toggle switches: 1.9€ for 10
5 rotary potentiometers (with colored button): 2.33€ for 5
flat 50cm HDMI cable
smal audio amplifier: 0.5€
some screw connector with 2.54mm
some resistors
a cheap wallet like this one: 43cmx30cmx15cm (I bought a used one for 1€!). Please check that the height is around 15cm (12 or 13 is not enough)