This phase II trial tests the safety and side effects of glofitamab and obinutuzumab and how well they work in treating patients with mantle cell lymphoma that has come back after a period of improvement (relapsed) or that has not responded to previous treatment (refractory) after receiving CD19-directed chimeric antigen receptor (CAR) T-cell therapy. CAR T-cell therapy is a form of immunotherapy where the immune system cell, T-cell, is changed to attack cancer cells. Glofitamab is a bispecific antibody that can bind to two different antigens at the same time. Glofitamab binds to CD3, a protein found on T cells (a type of white blood cell), and CD20 a protein found on B cells (another type of white blood cell) and some lymphoma cells. This may help the immune system kill cancer cells. Obinutuzumab is a monoclonal antibody that may interfere with the ability of cancer cells to grow and spread. A monoclonal antibody is a type of protein that can bind to certain targets in the body, such as molecules that cause the body to make an immune response (antigens). Giving glofitamab and obinutuzumab may be safe, tolerable, and/or effective in treating patients with relapsed or refractory mantle cell lymphoma after receiving CD19-directed CAR T-cell therapy.

This is a Phase 1/2, multi-center, open-label study evaluating the safety and efficacy of rondecabtagene autoleucel (ronde-cel) also known as LYL314, a dual-targeting chimeric antigen receptor (CAR) targeting cluster of differentiation (CD)19 and CD20 in participants with aggressive large B-cell lymphoma.

The main purpose of this study is to evaluate safety and efficacy, and measure how much LY4584180 gets into the bloodstream and how long it takes the body to eliminate it in patients with previously treated blood cancers. For each participant, the study could last about 9 months or possibly longer including screening.

The goal of this study is to provide access to brexucabtagene autoleucel for patients diagnosed with a disease approved for treatment with brexucabtagene autoleucel, that is otherwise out of specification for commercial release.

This study is researching an experimental drug called odronextamab, referred to as study drug. The study is focused on participants with previously untreated follicular lymphoma (a type of non-Hodgkin lymphoma or NHL).

This study will be made up of two parts: Part 1 (non-randomized) and Part 2 (randomized - controlled).

The aim of Part 1 of the study is to see how safe and tolerable the study drug is when given alone.

The aim of Part 2 of the study is to see how the study drug works compared to rituximab (called the "comparator drug") and chemotherapy (the current standard of care for NHL). Standard of care means the usual medication expected and used when receiving treatment for a condition.

The study is looking at several other research questions, including:

* What side effects may happen from taking the study drug
* How much study drug is in the blood at different times
* Whether the body makes antibodies against the study drug (which could make the study drug less effective or could lead to side effects)
* How the study drug affects quality of life and ability to complete routine daily activities.

The goal of this clinical study is to learn more about the long-term safety, effectiveness and prolonged action of Kite study drugs, axicabtagene ciloleucel, brexucabtagene autoleucel, KITE-363, KITE-753, KITE-197, and anitocabtagene autoleucel in participants of Kite-sponsored interventional studies.