This paper describes experiments with highly shaped JET H-mode plasmas, that where directed to developing regimes where Type I ELMs are replaced by other edge relaxations, while maintaining the pedestal pressure of Type I ELMy H-modes. It was found that Type II ELMs coexisted with Type I, up to densities of the order of the Greenwald limit, where Type III ELMs appear, and the good confinement was lost. Only at the highest edge collisionality was it observed that Type II ELMs completely replace Type I. At high bp and q95, "grassy" ELMs replace Type I completely. The MHD spectra chacteristics for grassy ELMs are significantly different from those of Type II ELMs. The paper details the experiments, briefly compared the results to those obtained elsewhere, and suggests open lines of investigations for the assessment of the potential of grassy ELM regimes as ELM mitigation technique.