parametric eq with FIR filters
These filter types are well covered here http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt

However these are all single biquad IIR implementations. To turn this into an FIR, you could simply calculate the impulse response of these filters and window to a finite size with the desired amount of accuracy. Another option is to design the filter as IIR, sample the frequency response and then do any of the many FIR fitting techniques. 

In general you will find that FIR filters are not well suited for this and the number of taps required will heavily depend on the relationship between the corner frequency and the sample rate and also on the Q of the filter.