[Barnes & Noble Nook Tablet] adorable:
Tested apps for Chinese/Japanese study, and a bit more for the Nook Tablet 8gb.

Top Chinese study apps

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Pleco - Nice Dictionary, must have.

Pinyin Lite - pronounciation practice

Trainchinese - Dictionary & flash cards

Xiaoma Hanzi - Flash cards

Top Japanese study apps

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EPPocket Free - Load it up with EPWing dictionaries (Genius, Kenkyusha), must have if you have EPWing dictionaries to load.

NariTra - Voice translator (30+ langauges to 30+ languages!), must have internet and for travel.

AEDICT - EDICT Dictionary, Must have.

JA Sensei - kana, kanji, vocab, etc.

INPUT KEYBOARDS

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Must haves for Chinese/Japanese input:

Multiling + Chinese/Japanese/Handwriting plugins - pretty much does it all if you decide never to install anything else. Handwriting input is nice, free! Must have for inputting Asian characters/kanji!

QQ - Fastest keyboard I've found for typing by thumbs in English or Chinese! Almost perfect layout for rapid typing with very few mistakes in portrait. To die for!

To try:

7notes - Interesting handwriting input, but can be less accurate than Multiling - try the demo out to see if you want to buy this.

Swype - If you must slide input, this solid keyboard does it well on the Tablet.

Tools

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ADownloader - Torrents, fast, nice.

App Manager/Explorer - Nice, can run Java MIDLETS on the Tablet.

DroidWall or Avast - both have nice Firewalls.

Kingsoft Office - a free, but decent Office program for the basics - taking notes, typing in outlines, etc.. (see other XDA thread for that huge 7 program Android Office comparo for alternatives)

X-Plore - the only MUST HAVE file manager!!! The best ever!! Very powerful.

Programming

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AIDE - When you're bored, create APK programs on the Tablet itself in Java! Yep, no need for external PC for compiling or editing.

MEDIA

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Flipboard - nice use of the tablet to read news from various categories and sites.

MX Player - plays just about everything it can play without a hiccup. Other players can handle more formats, but never as quick or nice. As long as you encode to 1080 or less at Level 4.1 High or less H.264 at 8000kpbs or less, the Tablet will generally play it.

NHK World TV/SPB TV - catch up on news from around the world.

Talkatone - free Google incoming/outgoing calls.

TubeMate - The BEST youtube downloader ever. Much like MXTube for iPhone.

TuneIn Radio - Nice online radio app.

WinAmp - Like the desktop app, good for listening to language audios.

Browsers

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Opera Mobile - solid, fast, can easily turn on/off features. Logical layout across all mobile platforms from Android to iPhone to Symbian to Java phones.

Firefox - only because you can add adblock plus plugin to block ads.

Default browser - Sadly, you still need this to access some free WiFi login pages.

Viewers

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Adobe Reader - default PDF viewer. Can extract and view just text in Japanese/Chinese, but won't handle every PDF out there.

PerfectViewer + PDF plugin - handles those PDFs Adobe Reader can't.

ComicRack Free - Very nice image/comic viewer. Simply ZIP up a folder of pictures and voila! You can flip through them like a book. Handles standard CBZ/etc. comic formats as well. You can scan in all of your Language books as JPG, then ZIP up the folder. (Note: Mac ZIPping sometimes creates zips that don't work - use a PC!) Must have.

CoolReader/EbookDroid/FBReader - handles those other EPUB/DJVU/etc. formats.

QuickPic - Fast picture viewer. Quick, logical, fast.

Games

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Ataroid, Gensoid, PianoPerfect, Cut the Rope - Some of the better emulators/games out there. Gensoid is totally perfect for Sonic the Hedgehog!