Linked grounds produce "noise" on Arduino's 5V lines
The ESP8266 draws between 40ma and 80mA when connected to a Wifi network but can peak up to around 200mA when transmitting. This sudden drain on the power can cause a voltage drop that may trigger a reset of other devices in the circuit. You should add a large capacitor close to the ESP8266 module. I've used 10uF successfully but you might need more. I would suggest you add one for the 433Mhz module as well.