In general any slope made by a passive filter can be duplicated using small signal components (aka an active filter). This includes Butterworth, Linkwitz-Riley, Bessel, Chebyshev, Sallen-Key, inverse Chebyshev, etc..
A fiilter (high pass or low pass) has a cut off point point and a roll off. The cutoff point for most filters (except L-R) is accepted as the point at which the filter is -3db below it's nominal voltage.
A designer chooses a filter topology (Bessel, Butterworth, etc..) based on thier needs. In addition to the "standard" topologys" there are various other topologies that are created just to compensate for the anamolies of a particular component (in this case in the audio chain). VMPS for example uses slopes that are variable meaning that the slope is -6db/octave for about 1/2 an octave and then fall faster after that.
In general
Butterworth
1. flat amplitude response
2. Phase response is NOT linear
3. phase shift is nonlinearly with frequency
4. each frequency have a different time delay
5. ringing in step response due to overshoot
Chebyshev
1. overshoot and ripples - more than butterworth or bessel
2. Linear phase response
Bessel
1. Linear phase response
2. phase shifts are linear with frequency
3. slower roll off hence little driver protection
Linkwitz-Riley
Effectively a modified Butterworth filter where the cut off point is -6db down. This filter has a flat power response (not the same as flat amplitude response as amplitude often refers just to the voltage).
In addition to the regular high pass and low pass filters are special filters such as ladder networks used to time align drivers (See John "Zaph" Krutke's ZD5 design)
Zaph|Audio - ZD5 - Scan Speak 15W8530K00 and Vifa XT25
This link explains things in more detail
Filter Solutions Descriptions
Active filter design is explained here
Design and Dimensioning of Active Filters Free Filter calculators, active filter design, chebyshev filters, Bessel filters, butterworth filters
and heres a quick design helper but it is not complete
Butterworth / Bessel / Chebyshev Filters