There are really two fundamentally different types of gloss paper:
High Gloss Papers
Pigment inks and very high gloss papers are traditionally not the best of friends, with some issues with gloss differential remaining even now. It's the one area that chemistry printing can still claim to be competitive with inkjet printing. This is because the inks sits on top of the inkjet coating, whereas with traditional photo chemistry the light sensitive layer is below the gloss.
That said, there are some good options - and whilst you may not get quite as pure a gloss as with chemistry prints, you do get all the other inkjet benefits - like wider gamut, deeper blacks and vastly greater print longevity.
Hahnemühle Photo Rag Baryta - described by Hahnemühle as a high-gloss but more of a gloss baryta in our terms. This is a beautiful fibre based, 100% cotton rag paper perfect for archival quality prints!
Ilford Gold Fibre Gloss - a new player in 2016 and perhaps the best of all the darkroom replacement papers. And equally at home with both colour and black and white!
Hard to go past Ilford's classic resin coated gloss paper here - one of the best selling inkjet papers in the world.
A good alternative is Canson's PhotoGloss which is a bit cooler in tone.
Chromajet Metallic Pearl - the best inkjet match for Kodak's classic Endura Metallic paper (but better than the Kodak stuff!). Very high gloss and with a unique 'pearlescent' appearance (i.e. metallic warm grey - the pearl here does not mean semi-gloss!), a very high impact paper great for landscapes and architecturals. This should be tried by everyone at least once, for the right images it is a remarkable paper.
Hahnemühle Baryta FB - Hahnemühle's glossiest paper! It contains a fair amount of optical brighteners to give it a bright white paper tone but is great for creating strong black and white images.
Canson Infinity Photo High Gloss - Resin coated and about as high gloss as you can currently get in the inkjet world.