ADMIRAL Trial: Adaptive Mediastinal Radiation With Chemo-Immunotherapy

Inclusion Criteria: * Histologically or cytologically documented non-small cell lung cancer (NSCLC) * Stage III NSCLC according to American Joint Committee on Cancer (AJCC) staging version (v)8 * At least one mediastinal site of disease that is discontiguous from all other visible sites of disease and can be excluded from primary tumor site radiation (i.e. at least 10 mm separation between tumors) * A maximum of 20 patients with bulky mediastinal disease will be allowed on this trial, defined as at least one contiguous mediastinal mass with minimum diameter \> 2 cm, that is not contiguous with the primary tumor (and therefore would not be irradiated during radiation to the primary tumor) * No surgery for lung cancer for at least 3 years * No other malignancies for at least 3 years, excluding low grade or non-invasive malignancies such as skin cancers, prostate cancers, and ductal breast carcinoma in situ (DCIS) * Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 * Age \>= 18 years at time of study entry * Life expectancy of \>= at least 3 months * Body weight \> 30 kg * Hemoglobin \>= 9.0 g/dL * Absolute neutrophil count (ANC) 1.5 (or 1.0) x (\>= 1500 per mm\^3) * Platelet count \>= 100,000 per mm\^3 * Serum bilirubin =\< 1.5 x institutional upper limit of normal (ULN). This will not apply to patients with confirmed Gilbert's syndrome (persistent or recurrent hyperbilirubinemia that is predominantly unconjugated in the absence of hemolysis or hepatic pathology), who will be allowed only in consultation with their physician * Aspartate transaminase (AST) (serum glutamic-oxaloacetic transaminase \[SGOT\])/alanine transferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 2.5 x institutional upper limit of normal unless liver metastases are present, in which case it must be =\< 5 x upper limit of normal (ULN) * Measured creatinine clearance (CL) \> 60 mL/min or calculated creatinine CL \> 40 mL/min by the Cockcroft-Gault formula (Cockcroft and Gault 1976) or by 24-hour urine collection for determination of creatinine clearance * Capable of giving signed informed consent which includes compliance with the requirements and restrictions listed in the informed consent form (ICF) and in this protocol. Written informed consent and any locally required authorization (eg, Health Insurance Portability and Accountability Act) obtained from the patient/legal representative prior to performing any protocol-related procedures, including screening evaluations * Evidence of post-menopausal status or negative urinary or serum pregnancy test for female pre-menopausal patients. Women will be considered post-menopausal if they have been amenorrheic for 12 months without an alternative medical cause. The following age-specific requirements apply: * Women \< 50 years of age would be considered post-menopausal if they have been amenorrheic for 12 months or more following cessation of exogenous hormonal treatments and if they have luteinizing hormone and follicle-stimulating hormone levels in the post-menopausal range for the institution or underwent surgical sterilization (bilateral oophorectomy or hysterectomy) * Women \>= 50 years of age would be considered post-menopausal if they have been amenorrheic for 12 months or more following cessation of all exogenous hormonal treatments, had radiation-induced menopause with last menses \> 1 year ago, had chemotherapy-induced menopause with last menses \> 1 year ago, or underwent surgical sterilization (bilateral oophorectomy, bilateral salpingectomy or hysterectomy) * Patient is willing and able to comply with the protocol for the duration of the study including undergoing treatment and scheduled visits and examinations including follow up Exclusion Criteria: * Prior anti-CTLA-4, PD-1 or PD-L1 antibodies including durvalumab * Prior chemotherapy in the past 3 years from consent * Any unresolved toxicity National Cancer Institute (NCI) CTCAE grade \>= 2 from previous anticancer therapy with the exception of alopecia, vitiligo, and the laboratory values defined in the inclusion criteria * Patients with grade \>= 2 neuropathy will be evaluated on a case-by-case basis after consultation with the study physician * Patients with irreversible toxicity not reasonably expected to be exacerbated by treatment with durvalumab may be included only after consultation with the study physician * Prior thoracic radiation that would preclude curative-intent radiation dose as outlined in this study * Concurrent enrolment in another clinical study, unless it is an observational (non-interventional) clinical study or during the follow-up period of an interventional study * History of allogenic organ transplantation * Active or prior documented autoimmune or inflammatory disorders (including inflammatory bowel disease \[e.g., colitis or Crohn's disease\], diverticulitis \[with the exception of diverticulosis\], systemic lupus erythematosus, Sarcoidosis syndrome, or Wegener syndrome \[granulomatosis with polyangiitis, Graves' disease, rheumatoid arthritis, hypophysitis, uveitis, etc\]). The following are exceptions to this criterion: * Patients with vitiligo or alopecia * Patients with hypothyroidism (e.g., following Hashimoto syndrome) stable on hormone replacement * Any chronic skin condition that does not require systemic therapy * Patients without active disease in the last 5 years may be included but only after consultation with the study physician * Patients with celiac disease controlled by diet alone * Uncontrolled intercurrent illness, including but not limited to, ongoing or active infection, symptomatic congestive heart failure, uncontrolled hypertension, unstable angina pectoris, cardiac arrhythmia, interstitial lung disease, serious chronic gastrointestinal conditions associated with diarrhea, or psychiatric illness/social situations that would limit compliance with study requirement, substantially increase risk of incurring adverse events (AEs) or compromise the ability of the patient to give written informed consent * History of leptomeningeal carcinomatosis * History of active primary immunodeficiency * Active infection including tuberculosis (clinical evaluation that includes clinical history, physical examination and radiographic findings, and tuberculosis (TB) testing in line with local practice), hepatitis B (known positive hepatitis B virus \[HBV\] surface antigen \[HBsAg\] result), hepatitis C. Patients with a past or resolved HBV infection (defined as the presence of hepatitis B core antibody \[anti-HBc\] and absence of HBsAg) are eligible. Patients positive for hepatitis C (hepatitis C virus \[HCV\]) antibody are eligible only if polymerase chain reaction is negative for HCV ribonucleic acid (RNA) * Current or prior use of immunosuppressive medication within 14 days before the first dose of durvalumab. The following are exceptions to this criterion: * Intranasal, inhaled, topical steroids, or local steroid injections (e.g., intra articular injection) * Systemic corticosteroids at physiologic doses not to exceed \<\<10 mg/day\>\> of prednisone or its equivalent * Steroids as premedication for hypersensitivity reactions (e.g., computed tomography \[CT\] scan premedication) * Receipt of live attenuated vaccine within 30 days prior to the first dose of investigational product (IP). Note: Patients, if enrolled, should not receive live vaccine whilst receiving IP and up to 30 days after the last dose of IP * Female patients who are pregnant or breastfeeding or male or female patients of reproductive potential who are not willing to employ effective birth control from screening to 90 days after the last dose of durvalumab monotherapy * Known allergy or hypersensitivity to any of the study drugs or any of the study drug excipients