search somebody from contacts with the numpads My old phone Motorola Defy had the option by calling to search for a contact just typing a number. Not sure how that feature is called but I'll give an example:

If I want to call "Alex" i need to press 2(a bc) 5(jk l) 3(d e f) 9(w x yz) and I press the call button.

Now I got the Nexus 4 and there is not such a feature, which is really annoying. Is there a custom dialer that support this feature? Or is it possible to enable it from somewhere?
There is no way to do this with the stock dialer. There are a number of apps that you can install that do support this. Search the play store for 't9 dialer' (or click here). Pick one that you like the look of :)