In this paper we discuss the current state of the art on the existence of gravity-like fields, which are gravitational fields that cannot be described by conventional gravitation, i.e. by the accumulation of mass. The gravitomagnetic effect of these fields is 18-20 orders of magnitude larger than predicted by classical GR frame dragging. The paper starts with an introduction to the present experimental basis for the existence of these novel gravity-like fields. The second section is dedicated to a discussion of the main physical features of a geometrized approach termed EHT (Extended Heim Theory), and to elucidate the underlying geometrization approach, extending Einstein's idea of the geometrization of physics by employing the additional concepts of Heim (1952, 1977) and Finzi (1955). As a consequence, EHT predicts, as already published in 2002, the existence of two additional gravity-like fields that can be both attractive and repulsive that is, there exist six fundamental physical interactions, of which three are of gravitational nature. In section three, all experiments are discussed that have measured gravitomagnetic or gravity-like fields (acceleration), and EHT is utilized to calculate magnitude, direction, and physical features of these fields for all those experiments. Furthermore, a comparison with measured and EHT results is performed. In particular, an analysis is presented for the recent set of experiments by Tajmar et al. (2007, 2008) utilizing a cryogenic (≤ 30 K) rotating Niobium ring as well as the recent experiments by Graham et al. (2007) employing a rotating superconducting lead disk. Emphasis is also given to the NASA-Stanford Gravity-Probe B gyro misalignment phenomenon (2007). GP-B was launched in 2004 to measuring the frame dragging effect of the Earth, as predicted by Lense and Thirring in 1918. During GP-B another anomaly was seen, namely a 10 Hz frequency shift indicating both deceleration and acceleration among the two gyro pairs. In Section four, the nature and type of the fundamental interaction(s), responsible for gravitomagnetic effects, is determined. Utilizing straightforward physical arguments it is demonstrated that none of the four known fundamental interactions can be the cause of these fields. In addition, in the meantime, the frame dragging effect was determined from the LAGEOS and LAGEOS II satellite data, and GR was confirmed within 5 to 10 % accuracy. Thus, the frame dragging effect is extremely small, and GR cannot be responsible for any of the observed gravitomagnetic phenomena. This holds also true for the gyro misalignment and the frequency shift in the GP-B experiment. The GP-B team did a careful analysis of all physical effects that might have been responsible for the misalignment, e.g. electrostatic forces between the gyro housing and the gyro surfaces, but it seems that the phenomenon cannot be resolved completely. According to EHT, a substantial part of the observed gyro anomaly should be due to the action of the two additional predicted gravity-like fields. Therefore, there should still be room for the gyro misalignment effect of gravito-magnetic fields. In Section five, based on the results of EHT, a novel experiment for the generation of a vertical gravity-like field is presented that might serve as propulsion principle, depending, however, on the physical nature of gravity-like fields. In the Conclusions section the validity of the experiments is discussed along with the state of the physical model. The major consequences of gravity-like fields in the general area of technology (transportation), physics, and cosmology are outlined. Finally, recommendations are made to advancing the state of gravitomagnetic research, and to the possibility of developing fundamentally new technologies.