As Stormynature stated start with something like pong or even chess if you know the basic.
BUT when doing that and here is where the issue start when reading most of the tutorials:
Don't write a bunch of code in just one big class. Make use of entities, actor pattern, ... (interfaces and abstract classes).
If you get the hang of it, try creating a basic poker game with AI, so you get the hang of how comparables work, equals, AI, ...
And don't forget on how to pause, safe your money in a file, ...
I'm not sure what the exact problem is with your packages but let me tell you how mine works. First of I'm using an IDE (eclipse to be exact).
When creating my packages I make sure I have a main package (which is the name of the game) and then the sub package. For example:
gamename.entities
Every single class that has anything to do with entities will be put in the entities package.
package gamename.entities;
the hierarchy of the files should be something like:
-src
-gamename
-entities
-model
-helpers
-views
-starter
-....
As for other tips you might want to use 2D libraries like lwjgl or slick2D (which is a "fork" or not sure how its called from lwjgl). Oh and i suppose you could find some great tutorials on youtube (instead of plain text websites).
If you use lwjgl check this link. He has some amazing tutorials.