I think that "Range Booster" in the name is probably just an unfortunate marketing phrase and since it was likely an early "N" (draft N) router it had "theoretically" more range.
Everything I can find and all the pictures I can see, suggests that it is in fact a Router as "Router" is also included in the name
D-Link DIR-625 RangeBooster N
Router
IEEE 802.3/3u, IEEE 802.11b/g, IEEE802.11n Draft
https://www.newegg.com/Product/Prod...VmLjACh1d-wotEAAYASAAEgIGM_D_BwE&gclsrc=aw.ds
I'd say most of the routers available from top tier manufacturers are going to be OK and which one you choose will largely depend on your physical needs, weighed against any budget constraints.
Shop according to your needs in relation to geographical space you are attempting to cover and proximity of network nodes needing wifi coverage.
Consider something with AC / beamforming capability so as to future proof yourself to some extent.
I am currently using
http://www.tp-link.com/us/products/details/cat-5506_Archer-C1900.html which seems to be performing adequately, but.....
IF money wasn't an object or I could otherwise justify the expenditure I would likely own one of these
http://www.tp-link.com/us/products/details/cat-5506_AD7200.html
Just a bit too rich for my retirement budget.