Japanese shops and online auction sellers don't sell to overseas buyers for the most part. For this reason you will need to employ a shopping service to buy from Japan. A shopping service will buy you the item you want for a fee; each service charges a different fee, but the fee should not be all you consider when you choose which shopping service to use.
This list includes a brief overview of each shopping service's features. Always read over a company's policies and fees before doing business with them!
Buyee
Allows you to browse various Japanese auction sites in english, making it less of a hassle. Won't buy from sellers with negative feedback.
Celga
Can be used to buy from Japanese webshops, Yahoo! Japan auctions, and Mbok. They have offices in both the US and Japan and will accept PayPal and US Domestic Money Orders for payment. With a Celga Gold Account you receive your own username to personally bid on Yahoo! Japan Auctions and your credit card is charged automatically for your won auctions.
From Japan
Mainly to be used to buy from Yahoo! Japan Auctions. They offer realtime bidding, a sniping service and a point system that will save you money the more you use the service. They accept payment via PayPal and Credit Card.
Japonica Market
One of the very few shopping services that can buy from secondhand apps, such as Mercari.
Sendico
Can be used to buy from any Japanese website using their order form, and will place pre-orders in the same way. Can purchase from Yahoo Auctions, Mercari & Rakuma on-site. They will remove all packaging from the original Japanese shipper to reduce shipping costs, and have a shipping calculator where you can check general costs.
Tenshi Shop
A personal shopping service that can buy items for you locally.
Tenso
Provides you with a Japanese address in order to buy from Japanese sites yourself. Not recommended for people new to online shopping.
Zenmarket
Offers a flat rate of ¥300 per item, making it a good option for pricey orders.