Definitions based on results taken from the Firefox plugin "Rikaichan." Additional context may be provided if the word calls for it.

はじまる〔始まる〕- to begin

スモークチーズ - smoked cheese

さっき - some time ago
食べる【たべる】- to eat (form used in this episode was past tense)

かんばん〔看板〕- signboard

タクシー - taxi

作り方【つくりかた】 - lit. "style of making", is mostly used in context of "how to make something"
ググる - to Google (e.g. searching something on a search engine, particularly Google)(form used in this episode was imperative)

今年【ことし】- this year
決まる【きまる】- to be decided (in this context, deciding on what's going to be popular (smoked cheese))(form used in this episode was a -masu stem)

すごく - awfully, very, immensely
おいしい - delicious
団【だん】- body, group, party
冗談じゃない【じょうだん-】 - "It's no joke", "Gimme a break!", "Sod that!"

本【ほん】- book
さぁ - word used in the context of "Beats me" or "Who knows?"