Pyrazoles, thiazoles and fused thiazoles have been reported to possess many biological activities. 3-Methyl-5-oxo-4-(2-arylhydrazono)-4,5-dihydro-1H-pyrazole-1-carbothioamides 3a,b (obtained from the reaction of ethyl 3-oxo-2-(2-arylhydrazono)butanoates 1a,b with thiosemicarbazide) could be transformed into a variety of thiazolyl-pyrazole derivatives 6a-h, 10a-c, 15a-c, 17, 19 and 21 via their reaction with a diversity hydrazonoyl chlorides as well as bromoacetyl derivatives. Moreover, the computational studies were carried out for all new compounds. The results indicated that five compounds showed promising binding affinities (10a: - 3.4 kcal/mol, 6d: - 3.0 kcal/mol, 15a: - 2.2 kcal/mol, 3a: - 1.6 kcal/mol, and 21: - 1.3 kcal/mol) against the active site of the epidermal growth factor receptor kinase (EGFR). The cytotoxicity of the potent products 3a, 6d, 10a, 15a, and 21 was examined against human liver carcinoma cell line (HepG-2) and revealed activities close to Doxorubicin standard drug. There was an understanding between the benefits of restricting affinities and the data obtained from the practical anticancer screening of the tested compounds.