The fragment separator ACCULINNA-2 has been constructed, approved by the Programme Advisory Committee (PAC) and commissioned in the G.N. Flerov Laboratory of Nuclear Reactions (JINR, Dubna) in 2017. It was tested with the 15 N beam at the energy of 49.7 MeV/nucleon. The secondary beams 6 He and 12 Be produced in the beryllium target were obtained with purities and intensities predicted by the code LISE++. Here, we list the most meaningful and challenging experiments on the light dripline nuclei at ACCULINNA, which should be clarified at ACCULINNA-2: (i) the search for the minor 2p-decay branch of the first excited state of 17 Ne, the Γ 2p /Γ γ width ratio; (ii) study of break down of the shell closure in the doubly magic 10 He in the 3 H(8 He,p) 10 He reaction; (iii) study of the β-delayed proton emission in 26 P and 27 S, which offers insight into the structure of the initial and the final states of these exotic nuclei. Among the first-day experiments is a study of the low-energy resonance states of 7 H anticipated for the 4n decay.