Hello.
Personal choice:
1. Wii - today very easy to Softmod,has very comfortable Game Loader(s),is very stable,great console.
2. PS2 - without Modchip the "phat" Models are very easy to Softmod,has good Game Loader,is very stable.
3. XBox 1 - with the required "paraphernalias" easy to softmod,good Game Loaders,very stable,can use for Music/Video/Games/Network.Great Allrounder.
1. PSP - very easy and quick to Softmod,great Game Loader,very stable,can use as PSX "substitute"
2. DSi - sadly very hard to Softmod if you don´t have the required "Software",but easiest to use with Flashcards (if you have the correct Kernel/Menu).If Softmodded,then TWiLight is the first choice.
3. DS Lite - with a Slot 2 Device,maybe FlashMe and a Slot 1 Flashcard THE All in One Solution for GB/GBC/GBA/NDS Games.