PL Premium Construction Adhesive
Best for exterior and internal wet area use (Compared with PL-375 it is 50% more extensive and has higher VOC).
PL Premium is by far the best general purpose construction adhesive. You can use it to stick pretty much anything apart from Polystyrene. Buy it in the 28 oz tubes as it's much cheaper that way.
https://www.lowes.com/pd/LOCTITE-PL-Premium-Brown-Interior-Exterior-Multi-purpose-Construction-Adhesive-Actual-Net-Contents-28-fl-oz/1000399983 $6.98 Buy box of 12 for 10% off ($6.28). Then 5% discount with Lowes card ($5.97). Then get HomeDepot to beat the price by 10% ($5.68).
You get a small discount if you buy a 12 tube box from Lowes to make it about $6.50 per tube.
Loctite PL-Premium Polyurethane Construction Adhesive is a one component, polyurethane based, moisture-curing adhesive. It is VOC compliant and contains no chlorinated solvents or water. PL-Premium provides superior adhesion to most common construction materials. It can be used for interior or exterior projects and is 3X as strong as ordinary construction adhesives. It is also waterproof, paintable and cures even in cold temperatures. Ideal for sub floor installations.
For Bonding most common construction materials such as wood, treated wood, hardwood flooring, concrete, stone, marble, slate, masonry, brick, foam insulation of all sorts, carpets, metal, lead, cement-based products, ceramic, fiberglass, drywall and mirrors.
For Polystyrene, polyethylene or polypropylene
Plastic Tub Surrounds
Certain materials such as rubbers and plastics may have bonding difficulties; test before use
Water submersion applications
More info at http://www.budgetgroup.net/cms_files/PL%20Premium%20PU%20BUDGET.pdf
For a lower cost alternative, look at PL-375 .