Chandra observations of nearby galaxies have revealed a number of X-ray sources characterized by high luminosities ( L _ { X } > \sim 10 ^ { 36 } erg s ^ { -1 } ) and k T 
in the range 100 - 350 eV .
These “ quasisoft X-ray sources ” ( QSSs ) are harder than luminous supersoft X-ray sources ( SSSs ) , whose characteristic temperatures are tens of eV , but , with little or no emission above 2 keV , they are significantly softer than most canonical X-ray sources .
They are likely to include a range of physical systems ; some may be common systems in unusual states : neutron stars or stellar-mass black holes ( BHs ) , or SNRs .
Others may be accreting BHs of intermediate mass .
We have analyzed Chandra data from 19 near-by galaxies to identify QSSs with sufficiently high count rates to allow spectral fits .
Six of these galaxies have been studied in great detail ; in these we find 89 SSSs and 122 QSSs .
In this paper we present spectra for QSSs those with more than 50 counts .
We also use data from six of these galaxies to study the broadband spectral distributions of QSSs and to compare them with those of other X-ray sources .
Since QSSs in the Milky Way are likely to be missed by our selection procedures , we discuss other signatures by which they can be found .
If some of the QSSs for which we have spectra are accreting BHs , the lower bounds for the BH mass range from roughly 30 M _ { \odot } to 1000 M _ { \odot } .