Budget
Kimi Ryokan
This friendly if very tourist-oriented minshuku no, it's not a ryokan is an excellent option for first time travelers to Tokyo. It is reasonably priced 4500 yen and has English speaking staff. A nice way to spend your first night on a tatami.
Sakura Hotel Ikebukuro
Various rooms are good for groups and private. All staff speak English.
Midrange
Dai-ichi Inn Ikebukuro
A 1 minute walk from the station take East Exit, right across from the back of Parco. In-room broadband internet, massage service, 24-hour convenience store, and many other amenities. TV channel list includes CNN. Some of the staff speak near-fluent English, others not so much. Internet reservations can greatly reduce room rates.
Hotel Grand City
The staff don't speak English very well.
Crowne Plaza Metropolitan - Tokyo
A short walk away from Ikebukuro station, a decent 4-star hotel with nice, clean rooms and friendly staff who mostly speak fluent English. Limosine bus services are available to both Narita and Haneda airports.