Background: Cellular and humoral immunity are key to the immune response against SARS-CoV-2, but the comparability and correlation across different assays remain underexplored. This study compares three T-cell and three antibody assays in two vaccine groups. Methods: This prospective longitudinal cohort study involved 46 naïve healthcare workers: a total of 11 in the homologous mRNA-1273 group (three doses) and 35 in the heterologous ChAd group (two ChAd doses followed by a BNT booster). Blood samples were collected at five time points. Cellular immunity was assessed using ELISPOT and two commercial interferon-gamma release assays: (IGRA)-QuantiFERON SARS-CoV-2 (QF) and Covi-FERON ELISA (CoVF). Humoral immunity was evaluated using total and IgG antibody assays and a surrogate virus neutralization test. Results: The mRNA-1273 group exhibited stronger and more consistent responses than the ChAd group. The correlations between ELISPOT and IGRA varied from weak to moderate (ρ = 0.300–0.410), while QF-IGRA and CoVF-IGRA showed stronger correlations (ρ = 0.700–0.737). The ELISPOT assay showed substantial agreement with QF [Ag2]-IGRA (k = 0.697–0.774) and CoVF [O-sp]-IGRA (k = 0.641–0.718), and an 80.4% agreement rate (k = 0.608) was found between the QF [Ag2]- and CoVF [O-sp]-IGRA tests. Three antibody assays demonstrated very strong correlations with each other and substantial to near-perfect agreement with ELISPOT (k = 0.866–0.949), QF [Ag2]-IGRA (k = 0.807–0.831), and CoVF [O-sp]-IGRA (k = 0.753–0.777). Conclusions: SARS-CoV-2-specific cellular and antibody responses vary by platform and vaccine type, highlighting the importance of measuring both T-cell and B-cell responses using multiple assays to comprehensively assess immune status.