Don Quijote runs a global online store at mpglobal.donki.com that ships to Singapore via EMS, with prices cheaper than Don Don Donki here. Singapore falls in Region 2, where a 1kg EMS parcel costs around S$14.
I discovered the UHA Mikakuto Croquette Snack while shopping at Don Quijote on a Tokyo trip. With tax-free shopping it's about S$1.70 a pack. I loved it enough to bring back 50 packets, filling half my luggage.
Ichiran is a famous Japanese tonkotsu ramen chain, with 24-hour branches across Japan, Hong Kong, the US, and Taiwan, dating to a 1960 Fukuoka stall. I'm hoping they reach Singapore soon; for now, there's this instant version.