Ok that site shows a lot of bandpass like responses, but not for the circuit in that particular configuration (output across the capacitor).
The simple story is that a series RLC circuit can operate as either lowpass, bandpass or highpass, depending on from where you tap the output voltage. If you take the output from across the capacitor then it's always lowpass, if you take the output from across the inductor then it's always highpass, and if you take the output from across the resistor then you get a bandpass response.
Like I said earlier however, in the LPF (or HPF) configuration you can get a very "peaky" response near the cutoff frequency if the damping factor is too low. When this happens it looks a little bit like a BPF response but technically it's not (as DC still passes in the case of the "peaky" LPF and high frequencies still pass in the case of the "peaky" HPF).