This is a shallow analysis of VGChartz data on hardware/software tie-ratio.  This is the ratio of the AVERAGE number of games bought per console. 
Digitial downloads are (probably) not accounted for. 
The "Rest of the World" column is as often in VGChartz data unreliable (Saturn has the largest attach ratio with 15 games per console).

We start with home-consoles in Japan.
Here we see that since the NES,SNES,PS1 and PS2 the attach ratio has gone down.
PS3 and X360 may have good numbers thanks to the long generation but it is still 40% less than the first Playstation. 
Wii has a very bad attach ratio and Wii U even worse. PS4 also has a very low attach ratio but it is still possible to improve.

http://www.vgchartz.com/analysis/platform_totals/Tie-Ratio/JP/

Europe

Xbox have had a good fight with Playstation in Europe and despite PS selling more consoles the Xbox faithful seems to buy more games.
Wii was not very successful in selling games.
Europe did not begin to buy many games until the PS2, XB, GC generation.
PS4 and XB1 are on track to have good attach ratios.

http://www.vgchartz.com/analysis/platform_totals/Tie-Ratio/EU/

North America

It seems it is the opposite of Europe and Sony fans buy more games than MS fans.
Dreamcast sold a lot of games in US despite its short life.
For some reason the attach ratio for the current generation is lower in NA than in EU. Could this be a digital download phenomenon?

http://www.vgchartz.com/analysis/platform_totals/Tie-Ratio/NA/

Handheld consoles

Handheld attach ratio is consistently lower than home consoles and the ratio is between three and six games per console.
Handhelds are least popular in EU.

You probably single handedly contributed to the Wii U attach ratio so much that you lifted it from last place!

Its because of MP games and some digital downloads

Europe tie in rate is higher than the US for PS4/XB1 ?

Yikes, that WiiU tie-ratio in Japan..

The games that sold good in Japan were (in order) Splatoon, Mario Kart 8, New Super Mario Bros. U, Super Mario Maker, Wii Party U, Super Smash Bros. and Super Mario 3D World.
Nintendoland, as the eighth most sold, was not bundled so it sold only 460k.

None of the current generations consoles have good ratios!

A generation not yet over and digital looking like they're having quite a large impact on the average attach rates for current consoles.

Good thread.

-snip-

I'm very curious about the attach rate of third party games on Nintendo consoles. I bet it's less than 1 for the Wii U and less than 2 for the Wii. Furthermore, I want to know the attach rate of third party games that are not "Just Dance" for the Wii and Wii U. I bet that brings the attach rate below 0.5 for other third parties on those platforms. Let's just go with those numbers for a little thought experiment.

To put that in perspective, assuming a 14 million user base for Wii U, that means that 7 million will buy one game that isn't made by Nintendo or isn't Just Dance. Now if you were a third party publisher, what does this tell you about your chances of your game selling well on these platforms? It tells you you're going to have an incredibly hard time even getting 500K in sales no matter what the game.

To put that number in perspective, that's the kind of sales the NHL series gets on Xbox One, and that is by far one of EA's smallest teams working on that game on a very limited budget. Now imagine a much bigger budget, with a much bigger team, with much more at stake. Think of the amount of effort involved in porting a AAA game to NS. Is that worth it if you're going to get 500K in sales? Not likely.

I already own over 30 PS4 titles, will likely end up with 80-100 games by time it is all said and done. Lot of people out there with couple games to compensate for outliers like I'd imagine many VGC members are.