You don't need to leave Tokyo for a ryokan experience. Several traditional inns operate right in the city, offering tatami rooms, kaiseki dinners, and onsen baths without the day trip hassle.

Recommended options: Ryokan Kamogawa in Asakusa has rooms from ¥15,000/night including breakfast. Sadachiyo in Asakusa is cheaper but more basic. Both offer the full traditional experience - tatami mats, futon beds, yukata robes, and elaborate breakfast presentations.

Book directly through their websites or call - many don't appear on Western booking sites. The experience includes proper ryokan etiquette lessons which are educational for first-timers.