  Moir\'e systems have emerged in recent years as a rich platform to study
strong correlations. Here, we will discuss a simple, experimentally feasible
setup based on periodically strained graphene that reproduces several key
aspects of twisted moir\'e heterostructures -- but without introducing a twist.
We consider a monolayer graphene sheet subject to a $C_2$-breaking periodic
strain-induced psuedomagnetic field (PMF) with period $L_M \gg a$, along with a
scalar potential of the same period. This system has {\it almost ideal} flat
bands with valley-resolved Chern number $\pm 1$, where the deviation from ideal
band geometry is analytically controlled and exponentially small in the
dimensionless ratio $(L_M/l_B)^2$ where $l_B$ is the magnetic length
corresponding to the maximum value of the PMF. Moreover, the scalar potential
can tune the bandwidth far below the Coulomb scale, making this a very
promising platform for strongly interacting topological phases. Using a
combination of strong-coupling theory and self-consistent Hartree fock, we find
quantum anomalous Hall states at integer fillings. At fractional filling, exact
diagonaliztion reveals a fractional Chern insulator at parameters in the
experimentally feasible range. Overall, we find that this system has larger
interaction-induced gaps, smaller quasiparticle dispersion, and enhanced
tunability compared to twisted graphene systems, even in their ideal limit.
