The 2-year rodent carcinogenicity bioassay evolved more than 40 years ago, and although it is complex, long lasting, expensive, and animal consuming, it is still the only generally accepted test for assessing the carcinogenicity of chemicals. Over time, different alternative approaches have been developed with the final goal to replace the bioassay. Unfortunately, at present, none of these strategies alone provides sufficient assurance of accurate prediction. In this review paper, we discuss the major advantages and pitfalls of the existing alternative methodologies to the carcinogenicity bioassay. Finally, based on the available scientific data in the public domain, we propose what we would like to call a "feasible integrated testing strategy" which incorporates some promising alternatives, providing at the same time information on the mechanism of action and the toxic nature of the compounds tested. It is, however, clear that the adoption of whatever "new" testing scheme should be considered with caution and its effectiveness should be experimentally demonstrated in advance by addressing a reasonable number of chemical carcinogens and non-carcinogens from a variety of structural and functional classes.