In this work, we present a simple, two-stage method for the preparation of new and efficient antimicrobial hybrid systems, based on isoniazid and pyrazine-2-carbohydrazide tuberculostatic agents covalently linked to graphene oxide. In the first step, the carboxyl groups of graphene oxide are activated by transforming them into the corresponding acid chloride groups, which, in the second step, will react with the amino groups of the two drugs. Pyrazine-2-carbohydrazide was obtained from pyrazinoic acid and hydrazine hydrate and was confirmed by nuclear magnetic resonance spectroscopy. The materials have been characterized by elemental analysis, infrared spectroscopy, Raman spectroscopy, scanning electron microscopy, and X-ray photoelectron spectroscopy. Their antimicrobial activity was tested on mycobacterial (Mycobacterium terrae), as well as on Gram-negative bacteria (Escherichia coli ATCC 25922, Pseudomonas aeruginosa ATCC 27853), Gram-positive bacteria (Staphylococcus aureus ATCC 6538, Staphylococcus aureus ATCC 25923) and fungal (Candida albicans ATCC 10231), in planktonic and biofilm growth state. The biocompatibility of the tested compounds was assessed in vitro by live-dead fluorescence staining and flow cytometry. The results of this study have shown that the functionalization of graphene oxide with isoniazid and pyrazine-2-carbohydrazide both enhanced the anti-mycobacterial activity of the respective drugs and extended their antimicrobial spectrum towards other microbial strains, in planktonic and biofilm growth state, showing a promising potential for mitigating the impact of antimicrobial resistance and the deleterious effects of microbial biofilms. At the active tuberculostatic concentrations, the tested compounds exhibit very low cytotoxicity and do not interfere with the cellular cycle of Hep-2 cells. The flow cytometry and live/dead fluorescence staining proved that the tested compounds exhibit a microbicidal effect through induction of cellular lesions, consecutive to membrane depolarization.