Step 1: Fluoroquinolones are synthetic broad-spectrum antibiotics that contain a quinolone ring structure. This is their defining chemical feature (so option A is correct).
Step 2: They act by inhibiting bacterial DNA gyrase (topoisomerase II) and topoisomerase IV, which are enzymes crucial for DNA replication and transcription (so option C is correct).
Step 3: They do not inhibit RNA polymerase; this mechanism is characteristic of rifampicin, not fluoroquinolones (so option B is incorrect).
Step 4: They do not target ribosomes or rRNA. Binding to 23S rRNA of the 50S ribosomal subunit is the mechanism of macrolides (e.g., erythromycin), not fluoroquinolones (so option D is incorrect).
\(\therefore\) The correct statements are (A) and (C).