Whenever you accelerate a charged particle it emits EM radiation known as Bremsstrahlung, and obviously charged particles moving in a circle are accelerating (towards the centre). This means that any circular collider emits a continual stream of Bremsstrahlung radiation. To counteract the energy lost to Bremsstrahlung you have to put energy in, and that costs money and annoys the local power companies.
For a given beam energy the Bremsstrahlung losses increase with decreasing particle mass, so it costs a lot more to run an electron collider than to run a proton collider of the same energy and beam current. The LEP collider, with a maximum energy of about 200GeV consumed around 70MW when running, while the LHC with a vastly higher beam energy only consumes around 120MW. These figures are a bit misleading since they include the costs of cooling, etc, and not just running the beam. According to this article the energypower required for maintaining the beam at the LHC is only around 20MW. I haven't been able to find the corresponding information for LEP.
All the proposed future electron/positron colliders are linear. This avoids the Bremsstrahlung losses when you bend the particle beam.