We introduce a set of four very high resolution cosmological simulations for exploring f(R)-gravity, with 20483 particles in 768 h-1Mpc and 1536 h-1Mpc simulation boxes, both for a |fR0| = 10-5 model and a ΛCDM comparison universe, making the set the largest simulations of f(R)-gravity to date. In order to mimic real observations, the simulations include a continuous 2D and 3D lightcone output which is dedicated to study lensing and clustering statistics in modified gravity. In this work, we present a detailed analysis and resolution study for the matter power spectrum in f(R)-gravity over a wide range of scales. We also analyse the angular matter power spectrum and lensing convergence on the lightcone. In addition, we investigate the impact of modified gravity on the halo mass function, matter and halo auto-correlation functions, linear halo bias and the concentration-mass relation. We find that the impact of f(R)-gravity is generally larger on smaller scales and increases with decreasing redshift. Comparing our simulations to state-of-the-art hydrodynamical simulations we confirm a degeneracy between f(R)-gravity and baryonic feedback in the matter power spectrum on small scales, but also find that scales around k = 1 h Mpc-1 are promising to distinguish both effects. The lensing convergence power spectrum is increased in f(R)-gravity. Interestingly available numerical fits are in good agreement overall with our simulations for both standard and modified gravity, but tend to overestimate their relative difference on non-linear scales by few percent. We also find that the halo bias is lower in f(R)-gravity compared to general relativity, whereas halo concentrations are increased for unscreened halos.