Compositions comprising A) from 80 to 98 parts by weight of aromatic polycarbonate and/or aromatic polyester carbonate, B)from 0.5 to 6.0 parts by weight of rubber-modified graft polymer, C) from 1 to 4.5 parts by weight of at least one cyclic phosphazene according to formula wherein k represents 1 or an integer from 1 to 10, preferably a number from 1 to 8, particularly preferably from 1 to 5, wherein the trimer content (k=1) is from 60 to 98 mol%, based on component C, and wherein R is in each case identical or different and represents an amine radical; C 1 - to C 8 -alkyl, preferably methyl, ethyl, propyl or butyl, each optionally halogenated, preferably halogenated with fluorine; C 1 - to C 8 -alkoxy, preferably methoxy, ethoxy, propoxy or butoxy; C 5 - to C 6 -cycloalkyl each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; C 6 - to C 20 -aryloxy, preferably phenoxy, naphthyloxy, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine, bromine, and/or by hydroxy; C 7 - to C 12 -aralkyl, preferably phenyl-C 1 -C 4 -alkyl, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; or a halogen radical, D) from 0 to 5.0 parts by weight of rubber-free vinyl (co)polymer or polyalkylene terephthalate, E) from 0 to 15.0 parts by weight of additives selected from the group comprising lubricants and demoulding agents, nucleating agents, stabilisers, antistatics, colorants, pigments and also flame retardant synergists other than antidripping agents, F) from 0.05 to 1.00 parts by weight, preferably from 0.1 to 0.8 parts by weight, particularly preferably from 0.1 to 0.6 part by weight, of antidripping agents, wherein all the parts by weight are preferably so normalised that the sum of the parts by weight of all the components A+B+C+D+E+F in the composition is 100. A) from 80 to 98 parts by weight of aromatic polycarbonate and/or aromatic polyester carbonate, B)from 0.5 to 6.0 parts by weight of rubber-modified graft polymer, C) from 1 to 4.5 parts by weight of at least one cyclic phosphazene according to formula wherein k represents 1 or an integer from 1 to 10, preferably a number from 1 to 8, particularly preferably from 1 to 5, wherein the trimer content (k=1) is from 60 to 98 mol%, based on component C, and wherein R is in each case identical or different and represents an amine radical; C 1 - to C 8 -alkyl, preferably methyl, ethyl, propyl or butyl, each optionally halogenated, preferably halogenated with fluorine; C 1 - to C 8 -alkoxy, preferably methoxy, ethoxy, propoxy or butoxy; C 5 - to C 6 -cycloalkyl each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; C 6 - to C 20 -aryloxy, preferably phenoxy, naphthyloxy, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine, bromine, and/or by hydroxy; C 7 - to C 12 -aralkyl, preferably phenyl-C 1 -C 4 -alkyl, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; or a halogen radical, k represents 1 or an integer from 1 to 10, preferably a number from 1 to 8, particularly preferably from 1 to 5, wherein the trimer content (k=1) is from 60 to 98 mol%, based on component C, R is in each case identical or different and represents an amine radical; C 1 - to C 8 -alkyl, preferably methyl, ethyl, propyl or butyl, each optionally halogenated, preferably halogenated with fluorine; C 1 - to C 8 -alkoxy, preferably methoxy, ethoxy, propoxy or butoxy; C 5 - to C 6 -cycloalkyl each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; C 6 - to C 20 -aryloxy, preferably phenoxy, naphthyloxy, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine, bromine, and/or by hydroxy; C 7 - to C 12 -aralkyl, preferably phenyl-C 1 -C 4 -alkyl, each optionally substituted by alkyl, preferably C 1 -C 4 -alkyl, and/or by halogen, preferably chlorine and/or bromine; or a halogen radical, D) from 0 to 5.0 parts by weight of rubber-free vinyl (co)polymer or polyalkylene terephthalate, E) from 0 to 15.0 parts by weight of additives selected from the group comprising lubricants and demoulding agents, nucleating agents, stabilisers, antistatics, colorants, pigments and also flame retardant synergists other than antidripping agents, F) from 0.05 to 1.00 parts by weight, preferably from 0.1 to 0.8 parts by weight, particularly preferably from 0.1 to 0.6 part by weight, of antidripping agents,