Ikebukuro -> Asakusa -> Ueno -> Akihabara

Departing from Ikebukuro - heading to Asakusa - usually take the JR Yamanote Line to Ueno Station, then transfer to the Ginza Line. Note that you need to walk a short passage from the JR Yamanote Line to Ueno Station. As long as you read the signs clearly, you will not go wrong. *Go from the Asakusa Exit of JR Ueno Station and follow the signs saying "Tokyo Metro Ginza Line" to reach the Ginza Line Station. At **Choose the "Asakusa bound" train on platform 2 at No Station on the Tokyo Metro Ginza Line. Depart from Asakusa - go to Ueno - get off at No Station on the Ginza Line, and take Exit 6 to Amama Yokocho. To get to Kamikoen, take Exit 8 or 9 from the connecting passage and walk out from the JR Ueno Station Park Exit. Depart from Ueno - go to Akihabara - (JR departure line) and walk out of the JR Akihabara Station Denki Street exit. On the left is a crowded exit, next to Akihabara Department, and opposite is Riko Kaikan. OR Tokyo Metro Ginza Line - It depends on the itinerary. You can get off at Mihirocho Station, which is very close to GEE STORE (Akihabara Gashapon Museum). This line goes up from Mihirocho Station to Ueno and Asakusa, and goes down to Ginza and Shibuya without having to go back.

Reference: Tokyo Travel Guide

It depends on whether you have bought a day pass for the Yamanote Line, because Asakusa is not on the JR Line.

When you don’t have a pass, first: Ikebukuro--> Asakusa: JR Yamanote Line Ikebukuro to Ueno, transfer to the Subway Ginza Line to Asakusa; Asakusa--> Ueno: Subway Ginza Line Asakusa to Ueno; Ueno--> Akihabara : JR Yamanote Line

Reference: tokyometro.jp