Tumors induce angiogenesis to acquire oxygen and nutrition from their adjacent microenvironment. Tumor angiogenesis has been believed to be induced primarily by the secretion of vascular endothelial growth factor-A (VEGF-A) from various tumors. VEGF-A binds to VEGF receptor 2 (VEGFR2), resulting in subsequent activation of cellular substances regulating cell proliferation, survival, and angiogenesis. Antiangiogenic therapies targeting the VEGF-A/VEGFR2 axis, including bevacizumab and ramucirumab, humanized monoclonal antibodies against VEGF-A and VEGFR2, respectively, have been proposed as a promising strategy aimed at preventing tumor growth, invasion, and metastasis. Phase III clinical trials using bevacizumab and ramucirumab have shown that not all tumor patients benefit from such antiangiogenic agents, and that some patients who initially benefit subsequently become less responsive to these antibodies, suggesting the possible existence of VEGF-independent angiogenic factors. In this review, we focus on VEGF-independent and VEGFR2-dependent tumor angiogenesis, as well as VEGFR2-independent tumor angiogenesis. Additionally, we discuss VEGF-independent angiogenic factors which have been reported in previous studies. Various molecular targeting drugs are currently being evaluated as potential antitumor therapies. We expect that precision medicine will permit the development of innovative antiangiogenic therapies targeting individual angiogenic factors selected on the basis of the genetic screening of tumors.