there are a lot of brands, even high quality brands like pearl and tama who use some of these woods for their entry level kits.. I think mahogany is the most popular but I could be wrong..

Mahogany:

True mahogany from USA or Honduras will have about a 20% increase in low frequency resonance over the maple drum, mid and high frequencies will be the same from a reproduction point of view, but because the Mahogany has the 20% low end increase, the perceived tone is warmer. Certain deep red timbers from South East Asia are sold as a 'Mahogany', or 'Mahogany Finish' although they are not true Mahogany from USA or Honduras. It’s most likely called mahogany due either its common appearance (dark red) or due to the nature of the forestation being depleted and the stigma attached to it. Asian 'Philippine Mahogany' is often sourced from the endangered Dipterocarp forests of Indonesia, Malaysia and the Philippines. Dependant on the source tree the timber types are often known as Meranti, Lauan and Keruing. Hence the name Philippine mahogany. The species known as Khaya Nyasica or African mahogany are more plentiful yet still endangered and therefore, not plentiful at this time.

Poplar:

Poplar is derived from fast growing straight medium hardwood trees and is a less expensive alternative to Birch and Maple. Its finish can be somewhat green in color and is therefore used in the inner ply layers as substitute for more expensive and less plentiful woods. To my ear it takes on more of the tone of birch or mahogany than maple.

Basswood:

Basswood is a great less expensive hardwood that mimics the sound of Maple to some, mahogany to others. Yet it is more plentiful and gives the manufacturer a price advantage. It in many ways is an upgrade to luaan, or ramin and is often used as a core wood with a bit more of the lower register tone to it than realized out of maple. For this reason I tend to think of it more like mahogany than maple.

I'd suggest you save up and buy a kit with a better wood like birch or maple