...this kinda of reflects what happens in a cell, you will have most of the transcript at low concentrations and a few (i.e. housekeeping) at higher concentrations/reads.
I agree. To emphasis this point, think that in a total RNA extract, you'll have about 95% rRNA (only a few genes !), the remaining 5% being split mostly between tRNAs and mRNAs.
Log transformation of your data (you might need pseudocounts) before the boxplot is a good idea.