At BioLyo we frequently use the following types of assays, some can be executed in house, some have to be outsourced:

Assay or Application Equipment used
In depth spent medium analysis NMR, LC-MS (outsourced)
Residual moisture Karl Fischer (coulometric)
Medium development
Various metabolites
Total protein
Cell or enzyme based assays
96 well plate reader/incubator/shaker
CFU counts (spot and spread plating) Automated multipets & automated CFU count software
Optical Density for culture samples Spectrofotometers
Medium & culture sample analysis Redox & pH meter 
Glass transition temperature Differential scanning calometry
Dry weight of culture samples Balances, analytical balance