What is a navigational fix? Where can I get navigational fixes for a local airport?
A navigational fix is a waypoint that can be used to navigate to, from or between airports or other navigational fixes. Navigational fixes can be GPS-based coordinates, radio-based navigational aids like VORs or NDBs or airport themselves, which have a defined airport reference point with set coordinates.

Navigational fixes or aids are usually not placed around runways, but those that are used for approaches or departures (mostly VOR or NDBs) are placed at or in the vicinity of the airport. See below for the placement of the Barmen (BAM) VOR, which is one of the approaches fixes used for the ILS approach to runway 23L and 23R and the, nowadays no longer used, NDBs DX and LI as the outer markers for the instrument approach.


(Image Source: www.skyvector.com)

Navigational fixes required for approaches or departures to a specific airport will be available in the countries' AIP, in the publications for the specific approach or departure routing, e.g. navigational fixes along a STAR or Transition from the Initial Approach Fix (which is a navigational fix as well) to the Final Approach Fix.


(Image Source: VATUSA)

The above displays the navigational fixes for the transitions/arrivals into Memphis International Airport.

For a list of available radio navigational aids around an airport, you can try sources like SkyVector.