CD3/CD19 Depleted or CD3 Depleted/CD56 Selected Haploid Donor Natural Killer Cell Treatment in Older AML in First Complete Remission

Inclusion Criteria: * Diagnosis of acute myelogenous leukemia (except acute promyelocytic leukemia) in a first complete remission (CR1) and meet the following criteria: * Meets the definition of complete remission by morphologic criteria including \<5% blasts in a moderately cellular (\> 20% cellularity) or cellular marrow. * Complete remission (CR) was achieved after no more than 2 cycles of standard induction chemotherapy. Early re-induction therapy based on residual disease on a day 14 bone marrow (BM) will count as a 2nd cycle. Prior therapy with demethylating agents (i.e. azacitidine) is allowed, but patients must have attained CR after standard cytotoxic therapy (defined as absolute neutrophil count (ANC) \> 1000 cells/μL, platelets \> 100 x 10\^9/L) * No more than 3 months have lapsed from attainment of CR1 * No acute myelogenous leukemia (AML) consolidation therapy administered prior to enrollment * Not a candidate for allogeneic stem cell transplantation * ≥ 60 years of age * Karnofsky performance status ≥ 70% * Available related HLA haploidentical natural killer (NK) cell donor (sibling, offspring, or offspring of an HLA identical sibling) by at least Class I serologic typing at the A\&B locus (donor age 18-75 years) * At least 30 days since last dose of chemotherapy * Adequate organ function within 14 days of enrollment defined as: * Creatinine: ≤ 2.0 mg/dL * Hepatic: aspartate aminotransferase (SGOT) and alanine aminotransferase (SGPT) \< 5 x upper limit of institutional normal (ULN) * Pulmonary: oxygen saturation ≥ 90% on room air * Cardiac: left ventricular ejection fraction (LVEF) by echocardiogram (ECHO or MUGA) ≥ 40%, no uncontrolled angina, uncontrolled atrial or ventricular arrhythmias, or evidence of acute ischemia or active conduction system abnormalities (rate controlled a-fib is not an exclusion) * Ability to be off prednisone and other immunosuppressive drugs for at least 3 days prior to the NK cell infusion (excluding preparative regimen pre-meds) * Voluntary written consent Exclusion Criteria: * Biphenotypic acute leukemia * New progressive pulmonary infiltrates on screening chest x-ray or chest Computed Tomography scan that has not been evaluated with bronchoscopy (when feasible). Infiltrates attributed to infection must be stable/improving (with associated clinical improvement) after 1 week of appropriate therapy (4 weeks for presumed or documented fungal infections). * Uncontrolled bacterial, fungal, or viral infections including human immunodeficiency virus (HIV) - chronic asymptomatic viral hepatitis is allowed * Pleural effusion large enough to be detectable on chest x-ray * Known hypersensitivity to one or more of the study agents Donor Selection: * Related donor (sibling, offspring, or offspring of an HLA identical sibling) 18-75 years of age * At least 40 kilograms * In general good health as determined by the medical provider * Negative for hepatitis and HIV on donor viral screen * HLA-haploidentical donor/recipient match by at least Class I serologic typing at the A\&B locus * Not pregnant * Voluntary written consent