One of the greatest triumphs of condensed matter physics is the understanding of fractional quantum Hall effect (FQHE) seen in 2D electron gas under strong magnetic field. It had been a long standing question if FQHE can be obtained without magnetic field (dubbed as fractional quantum anomalous Hall effect (FQAHE)). The basic ingredients for electronic bands to support lowest-Landau-level-type FQAHE had been identified by theorists to be: (i) flat isolated Chern band with a gap larger than interaction scale, (ii) ideal quantum geometry and (iii) uniform Berry curvature -- these type of electronic bands are called ideal flat bands. However, it remained elusive in experiments since realizing these requirements in solid state materials turned out to be almost impossible. With the recent advent of moire materials, such as twisted bilayer graphene (TBG) and twisted transition metal dichalcogenides (TMDs), where ideal flat bands mimicking lowest Landau level had been identified, the excitement toward realization of FQAHE renewed. Indeed, in the past year FQAHE has been experimentally observed in twisted TMDs. However, these developments beg the questions: (i) are there other platforms to realize lowest Landau-level type of flat bands in moire systems? (ii) can we find flat-bands in moire systems which have properties beyond twisted bilayer graphene/TMDs? (iii) can there be FQAHE beyond FQHE in Landau levels? In this talk, I first show that graphene or TMD like K-valley material or two layers with twist are not essential to realize ideal flat bands, it can be achieved in a monolayer Gamma-valley 2D material with a quadratic band crossing point, by applying moire periodic strain. These flat bands share similarities to those in twisted bilayer graphene, with the added benefit of a more uniform Berry curvature distribution, which is crucial for stabilizing FQAHE. Next, I show that the number of ideal flat bands in moire systems do not need to be limited to 1 or 2 per valley per spin as in twisted TMD or TBG, and the maximum number of flat bands is dictated by the symmetries of the moire system. We systematically classify all possible numbers of ideal flat bands with different point group symmetries, unifying all known examples in monolayer and bilayer systems. In the last part of the talk, I discuss the possibility of novel many body ground states that can emerge in these flat bands with high degeneracy. Our exact diagonalization results show evidence of FQAHE beyond FQHE in LLs, whose Hall conductance differs from the filling factor.