Active RIAA Calculator
This article shows a basic skeleton circuit with only the main components involved in the RIAA response and calculation. The default values in the boxes are for the amplifier I am building, however you can alter them to see the result. The best way to use it is by entering the values of R1 and C1, that you know are readily and cheaply available, and the algorithm will calculate for you the required values for R2 and C2 in order to maintain RIAA response. You should also enter a value for the gain at 1 kHz that you require the circuit to produce, so it can calculate for you the best value of R3.
Circuit Parameters
When choosing standard component values, you should bear in mind that resistors, and metalized polyester film capacitors typically have 5% tolerance. You could use high precision components, however they cost more money, therefore you need to make sure whether the deviation caused by this tolerance is acceptable.