Furfural has been considered as one of the most promising platform molecules directly derived from biomass. The hydrogenation of furfural is one of the most versatile reactions to upgrade furanic components to biofuels. For instance, it can lead to plenty of downstream products, such as (tetrahydro)furfuryl alcohol, 2-methyl(tetrahydro)furan, lactones, levulinates, cyclopentanone(l), or diols, etc. The aim of this review is to discuss recent advances in the catalytic hydrogenation of furfural towards (tetrahydro)furfuryl alcohol and 2-methyl(tetrahydro)furan in terms of different non-noble metal and noble metal catalytic systems. Reaction mechanisms that are related to the different catalytic materials and reaction conditions are properly discussed. Selective hydrogenation of furfural could be modified not only by varying the types of catalyst (nature of metal, support, and preparation method) and reaction conditions, but also by altering the reaction regime, namely from batch to continuous flow. In any case, furfural catalytic hydrogenation is an open research line, which represents an attractive option for biomass valorization towards valuable chemicals and fuels.FA is a very important monomer for the synthesis of furan resins, which are widely used in thermoset polymer matrix composites, cements, adhesives, coatings, and casting/foundry resins. This molecule is also used as a non-reactive diluent for epoxy resin, a modifier for phenolic and urea resins, an oil well, and a carbon binder. Furthermore, the salt of FA is used in the synthesis of lysine, vitamin C, lubricants, and plasticizers [22,23]. Moreover, it should be highlighted that FA is also an important intermediate for the production of further hydrogenation products (as shown in Scheme 1), such as 2-methylfuran (MF), a potential alternative fuel with better combustion performance and higher Research Octane Number (RON = 103) than that of gasoline (RON = 96.8) [24]. In other applications, MF is used in perfume intermediates, chloroquine lateral chains in medical intermediates, and as a raw material for the production of chrysanthemate pesticides [25].Moreover, tetrahydrofurfuryl alcohol (THFA) can be used as a green solvent in the pharmaceutical industry and, in addition, it constitutes an outstanding intermediate to produce dihydropyran [26], pyridine [27], tetrahydrofuran, and pentan-1,5-diol [28][29][30]. Particularly, the latest molecule is an important monomer in the plastics industry. Furthermore, 2-methyltetrahydrofuran (MTHF) is quite engaging for its possible applications in organometallic chemistry, as well as in organic reactions that are related to organocatalysis, biotransformations, and biomass processing [31]. Catalysts 2019, 9, 796 3 of 33 Catalysts 2018, 8, x FOR PEER REVIEW 3 of 36 Scheme 1. Illustrative representation of reaction pathways in furfural hydrogenation.Other downstream products of furfural hydrogenation, such as (tetrahydro)furan [32], tetrahydrofurfural [33], lactones [34][35][36][37], levulinates [38,39], cyclopentanone...