With the increasing rise of publicly available high level quantum computing languages, the field of Quantum Computing has reached an important milestone of separation of software from hardware. Consequently, the study of Quantum Algorithms is beginning to emerge as university courses and disciplines around the world, spanning physics, math, and computer science departments alike. As a continuation to its predecessor: Introduction to Coding Quantum Algorithms: A Tutorial Series Using Qiskit, this tutorial series aims to help understand several of the most promising quantum algorithms to date, including Phase Estimation, Shors, QAOA, VQE, and several others. Accompanying each algorithms theoretical foundations are coding examples utilizing IBMs Qiskit, demonstrating the strengths and challenges of implementing each algorithm in gate-based quantum computing.