Introduced by Spitzer [23] and studied by Liggett [14] the Long Range Exclusion Process (LREP) is an interacting particle system with truly long range interaction. Informally speaking: each particle on a lattice hops at independent random times following instantaneously a random dynamic on the lattice until finding a vacant site (if any). These instantaneous, potentially long jumps prevent the process to have the Feller property. In this paper we review the main results about the LREP including recent developments obtained in [11,24] and [4]. New results on Feller approximations and about the regularity set of the LREP are also provided. Finally we briefly discuss some connections of the LREP with the discrete Hammersley process introduced in [8] and the sandpile process in infinite volume developed in [18] and [17].