Le gusta jugar juegos de vídeo would be the best way to say "He likes to play video games" in Spanish.
Jugar Conmigo- Play with me. Quieres Jugar Conmigo- Do you want to play with me?
Puedas jugar?
Me gusta jugar videojuegos / a las maquinitas.
You would say "Me gusta el surf y jugar videojuegos."
To say "I am a video gamer" in Spanish you would say: Yo soy un video jugador
As a statement "you like to play tennis", it would be "Le gusta jugar al tenis." As a question "do you like to play tennis?", ¿Le gusta jugar al tenis?" Spoken, the differrence is just in inflection - with the voice rising at the end. If you are asking someone if they want to play tennis, the it is "¿Le gustaría (Or "Quisiera") jugar al tenis conmigo?"
it means: "he/she likes to play"
A loose interpretation might be, "Come on! Get in the game!"
jugar = to play
fala English putha
'Un Video Juego' means Video Games.:D