Aims. The SINFONI survey for Unveiling the Physics and Effect of Radiative feedback (SUPER) aims to trace and characterise ionised gas outflows and their impact on star formation in a statistical sample of X-ray selected active galactic nuclei (AGN) at z similar to 2. We present the first SINFONI results for a sample of 21 Type 1 AGN spanning a wide range in bolometric luminosity (log L-bol = 45.4-47.9 erg s(-1)). The main aims of this paper are to determine the extension of the ionised gas, characterise the occurrence of AGN-driven outflows, and link the properties of such outflows with those of the AGN.Methods. We used adaptive optics-assisted SINFONI observations to trace ionised gas in the extended narrow line region using the [OIII] lambda 5007 line. We classified a target as hosting an outflow if its non-parametric velocity of the [OIII] line, w(80), was larger than 600 km s(-1). We studied the presence of extended emission using dedicated point-spread function (PSF) observations, after modelling the PSF from the Balmer lines originating from the broad line region.Results. We detect outflows in all the Type 1 AGN sample based on the w(80) value from the integrated spectrum, which is in the range similar to 650-2700 km s(-1). There is a clear positive correlation between w(80) and the AGN bolometric luminosity (> 99% correlation probability), and the black hole mass (98% correlation probability). A comparison of the PSF and the [OIII] radial profile shows that the [OIII] emission is spatially resolved for similar to 35% of the Type 1 sample and the outflows show an extension up to similar to 6 kpc. The relation between maximum velocity and the bolometric luminosity is consistent with model predictions for shocks from an AGN-driven outflow. The escape fraction of the outflowing gas increases with the AGN luminosity, although for most galaxies, this fraction is less than 10%.