What you're looking for is called FPV (first person view). As you correctly guess, it's usually done with an analog connection, using a special camera (basically repurposed CCTV cameras), a video transmitter, and a display or goggles with a built-in receiver. Examples of hardware (there's a lot of choice on the market, these are the simplest choices to start out with though):
Camera with built-in transmitter and antenna:
http://www.hobbyking.com/hobbyking/..._VTX_25mW_40CH_5_8GHz_NTSC_EU_Warehouse_.html
Display with built-in receiver:
http://www.hobbyking.com/hobbyking/...Monitor_Fieldview_777_RX32_EU_Warehouse_.html
Much better antenna for the receiver (optional):
http://www.hobbyking.com/hobbyking/...SpiroNet_Antenna_V2_RP_SMA_EU_Warehouse_.html (display comes with a linear-polarized antenna, and the one on the camera above is circular-polarized; basically circular is a must to get good range and signal stability)
Hobbyking is a popular cost-effective supplier of this stuff. They have a EU warehouse if you prefer not waiting to shipping from China (all links above are EU WH). There are also many online shops based in Europe (including Germany and Switzerland), but they are usually more expensive.
The transmitter in the camera above is limited to EU-legal 25mW of power. With good antennas, that yields anywhere between 500-1000m of range with aircraft, probably about half that on the ground (because of signal reflections and shadowing). You can get more powerful transmitters, though not many shops carry them in the EU - they are actually illegal, though few people really care.
You'll also need some sort of power supply for the display. If your RC car runs on LiPos and you already have a charger for them, best get a cheap 3S Lipo from Hobbyking with your order - ~1800-2200 mAh will keep the display running for several hours on a charge.